Solving an Equation by Multiplication/ Division: Decimal numbers

To solve this problem, we'll follow these steps:

• Step 1: Subtract 3.4 from both sides of the equation.
• Step 2: Divide the resulting value by 6 to find $x$.

Let's execute each step:
Step 1: The original equation is $6x + 3.4 = 15.4$.
Subtract 3.4 from both sides:
$6x + 3.4 - 3.4 = 15.4 - 3.4$
This simplifies to:
$6x = 12$.

Step 2: Divide both sides by 6 to solve for $x$:
$x = \frac{12}{6}$.
This simplifies to:
$x = 2$.

Therefore, the solution to the problem is $x = 2$, which matches choice 3.

To solve the equation $2.6 - 3.8x = 10.2$, we follow these steps:

• Step 1: Move the constant term $2.6$ to the right side of the equation.

Subtract $2.6$ from both sides:
$2.6 - 3.8x - 2.6 = 10.2 - 2.6$

This simplifies to:
$-3.8x = 7.6$

• Step 2: Solve for $x$ by dividing both sides by $-3.8$.

Divide both sides by $-3.8$:
$x = \frac{7.6}{-3.8}$

Simplifying the right-hand side gives:
$x = -2$

Therefore, the solution to the equation is $x = -2$.

Given the answer choices, the correct choice is 2-, which is equivalent to -2.

To solve the linear equation $7.24x - 3.5 = 6.21$, we will apply the following steps:

• Step 1: Add 3.5 to both sides of the equation to isolate the term containing $x$.
• Step 2: Perform the addition on the right side to simplify the expression.
• Step 3: Divide both sides by 7.24 to solve for $x$.
• Step 4: Calculate the division to obtain the value of $x$.

Let's execute these steps one by one:

Step 1: Add 3.5 to both sides:

$7.24x - 3.5 + 3.5 = 6.21 + 3.5$

This simplifies to:

$7.24x = 9.71$

Step 2: Divide both sides by 7.24 to solve for $x$:

$x = \frac{9.71}{7.24}$

Step 3: Calculate the division:

$x \approx 1.34$

Therefore, the solution to the problem is $x = 1.34$, which corresponds to Choice 3.

To solve the problem, we'll perform the following steps:

• Step 1: Start with the equation $72.15x - 4.3 = 80.15x$.
• Step 2: Subtract $72.15x$ from both sides to consolidate the $x$-terms: $72.15x - 4.3 - 72.15x = 80.15x - 72.15x$.
• Step 3: This simplifies to: $-4.3 = 8.0x$.
• Step 4: Isolate $x$ by dividing both sides by 8.0: $x = \frac{-4.3}{8.0}$.
• Step 5: Perform the division: $x = -0.5375$.

However, upon checking against the choices, we find an error in calculation or comparison. Let's round or consider the choice closest by value. We evaluate our options in the context of negative results: $0.53$ is a close representation of the mathematical context considering format specifics.

Therefore, the solution to the problem is $x = 0.53-$.

To find the value of $x$, we need to solve the equation $16.8 - 3.5x = 27.3$.

First, we isolate the term involving $x$. To do this, subtract 16.8 from both sides of the equation:

$16.8 - 3.5x - 16.8 = 27.3 - 16.8$

This simplifies to:

$-3.5x = 10.5$

Next, we solve for $x$ by dividing both sides by the coefficient of $x$, which is -3.5:

$x = \frac{10.5}{-3.5}$

Perform the division:

$x = -3$

Therefore, the value of the parameter $x$ is $-3$.

To solve this problem, we will follow these steps:

• Step 1: Subtract the constant term from both sides of the equation.
• Step 2: Divide by the coefficient of $x$ to solve for the variable.

Let's apply these steps to the equation $-3.5x + 4.2 = 3.72$:

Step 1: Subtract 4.2 from both sides of the equation:
$-3.5x + 4.2 - 4.2 = 3.72 - 4.2$
This simplifies to:
$-3.5x = -0.48$

Step 2: Divide both sides by $-3.5$ to isolate $x$:
$x = \frac{-0.48}{-3.5}$

Perform the division:
$x = 0.137$

Therefore, the solution to the problem is $x = 0.137$.

To solve this problem, we'll follow these steps:

• Step 1: Isolate the terms involving $x$.
• Step 2: Solve for $x$ by dividing.

Let's proceed with each step:

Step 1: Isolate the terms involving $x$.
Subtract 27.213 from both sides of the equation:
$27.213 + 5.21x - 27.213 = 28.32 - 27.213$.

This simplifies to:
$5.21x = 1.107$.

Step 2: Solve for $x$ by dividing both sides by 5.21:
$x = \frac{1.107}{5.21}$.

Perform the division:
$x = 0.212$.

Therefore, the solution to the problem is $x = 0.212$.

To solve the equation $5.214 - 3.24x = -4.51$, we begin by isolating the term with the variable.

• Step 1: Move the constant term on the left side to the right side of the equation. Subtract 5.214 from both sides:

$5.214 - 3.24x - 5.214 = -4.51 - 5.214$

This simplifies to:

$-3.24x = -9.724$

• Step 2: Solve for $x$ by dividing both sides by the coefficient of $x$, which is -3.24:

$x = \frac{-9.724}{-3.24}$

Perform the division:

$x = 3.001$

Thus, the solution to the equation is $x = 3.001$, aligning with the correct choice given the options.