94.1k views
5 votes
Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided.

7(x -2) + 3(x + 2) = 5(x - 6)

2 Answers

7 votes

the correct answer is x = - 4 2/5

User Toddams
by
6.3k points
3 votes
7(x-2) + 3(x + 2) = 5(x-6)...distribute thru the parenthesis
7x - 14 + 3x + 6 = 5x - 30...combine like terms
10x - 8 = 5x - 30...subtract 5x from both sides
10x - 5x - 8 = -30....add 8 to both sides
10x - 5x = -30 + 8...combine like terms
5x = - 22
x = -22/5 = - 4 2/5 <==
User ZooMMX
by
6.8k points
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