Solving Equations Using All Methods: Monomial

To solve this problem, we will follow these steps:

• Step 1: Identify the given equation $3 + x = 4$.
• Step 2: Use subtraction to isolate the variable $x$.

Now, let's work through these steps:
Step 1: We have the equation: $3 + x = 4$.
Step 2: Subtract 3 from both sides of the equation to isolate $x$:

$3 + x - 3 = 4 - 3$

This simplifies to:

$x = 1$

Therefore, the solution to the equation is $x = 1$.

To solve the equation $-5 + x = -3$, we can follow these steps:

• Step 1: We want to isolate $x$ on one side of the equation. Currently, it is subtracted by 5, so we'll eliminate the -5 by performing the operation of addition.
• Step 2: Add 5 to both sides of the equation to cancel out the -5:
  $-5 + x + 5 = -3 + 5$
• Step 3: Simplify both sides:
  $x = -3 + 5$
• Step 4: Perform the arithmetic operation on the right side:
  $x = 2$

Therefore, the solution to the problem is $x = 2$.

To solve the equation $x + 5 = 8$, follow these steps:

• Step 1: Start with the original equation:
  $x + 5 = 8$.
• Step 2: Subtract 5 from both sides of the equation to isolate $x$:
  $x + 5 - 5 = 8 - 5$.
• Step 3: Simplify both sides:
  $x = 3$.

Therefore, the solution to the equation is $x = 3$.

The correct answer choice is: :

3

To solve the given linear equation $-8 - x = 5$, we will follow these steps:

• Add 8 to both sides of the equation to isolate the term involving $x$.
• Subtract $x$ from both sides to further simplify; however, applying approach 1 directly cancels this step.
• Multiply both sides by -1 to solve for $x$.

First, let's add 8 to both sides of the equation:

This simplifies to:

To find $x$, multiply both sides of the equation by -1:

Therefore, the solution to the equation is $x = -13$.

To solve the equation $5 - x = 4$, we aim to isolate $x$ on one side of the equation.

We start by considering the equation:
$5 - x = 4$

Step 1: Eliminate 5 from the left side to isolate terms involving $x$. To do this, subtract 5 from both sides of the equation:

$(5 - x) - 5 = 4 - 5$

Step 2: Simplify both sides:

$-x = -1$

Step 3: To solve for $x$, multiply or divide both sides by $-1$ to change the sign of $x$:

$-1 \cdot -x = -1 \cdot -1$

This simplifies to:

$x = 1$

Therefore, the solution to the equation $5 - x = 4$ is $x = 1$.

The correct answer is $x = 1$.

To solve the equation $1.5 - x = 2.8$, follow these steps:

• Step 1: Add $x$ to both sides of the equation to get $1.5 = x + 2.8$.
• Step 2: Subtract $2.8$ from both sides to isolate $x$: $1.5 - 2.8 = x$.

Perform the subtraction: $1.5 - 2.8$ results in $-1.3$.

Thus, $x = -1.3$.

The solution to the problem is $\mathbf{x = -1.3}$.