Solve for X in the Equation 7x + 5.5 = 19.5: Linear Equation Practice

Question

Solve the equation

7x+5.5=19.5 7x+5.5=19.5

Video Solution

Solution Steps

00:00 Solve
00:03 We want to isolate the unknown X
00:10 Let's arrange the equation so that one side has only the unknown X
00:21 Let's group terms
00:27 Let's isolate the unknown X and calculate
00:40 And this is the solution to the question

Step-by-Step Solution

To solve the given equation 7x+5.5=19.5 7x + 5.5 = 19.5 , we'll follow these steps:

  • Step 1: Eliminate the constant term from the left side by subtracting 5.5 from both sides of the equation.
  • Step 2: Simplify the equation after subtraction to isolate the term with x x .
  • Step 3: Use division to solve for x x .

Now, let's work through each step:

Step 1: Subtract 5.5 from both sides.

We have:
7x+5.55.5=19.55.5 7x + 5.5 - 5.5 = 19.5 - 5.5

This simplifies to:
7x=14 7x = 14

Step 2: Divide both sides by 7 to solve for x x .

So, we divide by 7:
7x7=147 \frac{7x}{7} = \frac{14}{7}

This simplifies to:
x=2 x = 2

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

Answer

x=2 x=2