Given the equation 2 (3x - 4) = 5x + 6, solve for the variable. Explain each step and justify your process. Charlie solved a similar equation below. Is Charlie's solution correct? Explain why or why not. 4x - 3 = 2 (x - 1) 4x - 3 = 2x + 2 2x - 3 = 2 2x = 6 x = 3

Question

Mathematics

Christian Rich

30 April, 06:01

Given the equation 2 (3x - 4) = 5x + 6, solve for the variable. Explain each step and justify your process. Charlie solved a similar equation below. Is Charlie's solution correct? Explain why or why not. 4x - 3 = 2 (x - 1) 4x - 3 = 2x + 2 2x - 3 = 2 2x = 6 x = 3

+2

Answers (1)

Know the Answer?

Jonathon Tapia · Answer 1

First expand the left hand side:

2 (3x-4) = 6x - 8. Now solve for x:

6x - 5x - 8 = 5x + 6-5

x - 8 = 6

x - 8 + 8 = 6 + 8

x = 14.

No Charlie is incorrect. He incorrectly added 3 and 5. the answer to Charlie's question is x = 5/2