Question

2. Your friend was given 5(2x + 7) = 63 and asked to solve for x.

A. Your friend made 2 mistakes in their process below.
Check the box next to each mistake in the process!

Your friend's work
5(2x + 7) = 63
5(2x) + 7 = 63
10x = 63+7
10x = 70
x = 7
Your friend's process
Given
Distribute 5 to only 2x
Add 7 to both sides
Combine like terms
Divide both sides by 10 to isolate x

Answer 1

Mistake 1: Distributing 5 to only 2x

Mistake 2: Adding 7 to both sides

Solution

The correct way to solve:

Start with the equation: 5(2x + 7) = 63

Distribute 5 to both terms inside the parentheses: 10x + 35 = 63

Subtract 35 from both sides to isolate the variable term: 10x = 63 - 35 10x = 28

Divide both sides by 10 to solve for x: x = 28 / 10 x = 2.8

Therefore, the correct solution for the equation 5(2x + 7) = 63 is x = 2.8 and not 7.