Question

Anne solved 6(2x) − 3 = 22x + 32 for x by first distributing 6 on the left side of the equation. She got the answer x = −5. However, when she substituted −5 into the original equation for x, she saw that her answer was wrong. What did Anne do wrong, and what is the correct answer?

Answer 1

Answer:

Anne made a mistake when she multiplied all the left side equation with 6

Step-by-step explanation:

6(2x)-3 = 22x+32

Distribute 6 only to the term within the parenthesis

12x - 3 = 22x + 32

Collect like terms

12x-22x = 32+3

-10x = 32+3

-10x = 35

divide both sides of equation by -10

x = -3.5