Identify the steps that need to be used to solve a problem.

Question

7(x-8)=49

Answer 1

To solve the equation 7(x-8)=49, you can follow these steps:

1. Distribute the 7 to the terms inside the parentheses:
7 * x = 7x
7 * -8 = -56

The equation becomes: 7x - 56 = 49

2. To isolate the variable term, add 56 to both sides of the equation:
7x - 56 + 56 = 49 + 56
The -56 and +56 on the left side cancel out.

The equation becomes: 7x = 105

3. To isolate the variable x, divide both sides of the equation by 7:
(7x)/7 = 105/7
The 7s on the left side cancel out.

The equation becomes: x = 15

So, the solution to the equation 7(x-8)=49 is x = 15.