Question

4. Find the solution for the following problem. Explain your reasoning."

What is the solution to the equation below?
2(x - 3) = 2x + 5

Answer 1

no solution

Explanation:

Given

2(x - 3) = 2x + 5 ← distribute parenthesis on left side

2x - 6 = 2x + 5 ( add 6 to both sides )

2x = 2x + 11 ( subtract 2x from both sides )

0 = 11 ← not possible

This indicates the equation has no solution