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Problem: 7x - 3 (2x - 9) = 6x + 3
Please give me a clear explanation, I'm new to this unit.

User Olaf
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2 Answers

14 votes
14 votes

Answer:
x=(24)/(5) , (decimal: x=4.8)

Explanation:


7x-3\left(2x-9\right)=6x+3


7x-6x+27=6x+3


x+27=6x+3


x+27-27=6x+3-27


x=6x-24
x-6x=6x-24-6x


-5x=-24


(-5x)/(-5)=(-24)/(-5)


x=(24)/(5)

User Akshaydashrath
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3.2k points
11 votes
11 votes

Answer:


x=(24)/(5)

Explanation:


7x-3\left(2x-9\right)=6x+3

Use the distributive property to multiply -3 by 2x-9:-


7x-6x+27=6x+3

Combine 7x and -6x to get x:-


x+27=6x+3

Subtract 6x from both sides:-


x+27-6x=3

Combine x and -6x to get -5x:-


-5x+27=3

Subtract 27 from both sides:-


-5x=3-27


-5x=-24

Divide both sides by -5:-


x=(24)/(5)

OAmalOHopeO

User Jrhicks
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2.8k points