Question

Mr. Greer solved the equation as shown below. However, when he checked his solution, it did not make the original equation true. Find his error and then find the correct solution.

Answer 1

The error in the steps is committed in the first step, where he failed to distribute 8 completely on the expression (2x -3)

The solution to the equation is x = 2

Steps to follow when solving simple equation

Let's solve the equation 4x = 8(2x - 3)

1. Distribute the 8 on the right side:

4x = 16x - 24

2. Rearrange the terms by subtracting 4x from both sides:

0 = 12x - 24

3. Add 24 to both sides:

12x = 24

4. Divide both sides by 12 to solve for x:

x = 2

Therefore, the solution to the equation is x = 2

The error in the steps is committed in the first step, where he failed to distribute 8 completely on the expression (2x -3)