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9, x, minus, left parenthesis, 5, x, plus, 1, right parenthesis, minus, left parenthesis, 2, plus, 8, x, minus, left parenthesis, 7, x, minus, 5, right parenthesis, right parenthesis, plus, 9, x, equals, 0
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9x-5x-1-\left(2+8x-\left(7x-5\right)\right)+9x=0
To find the opposite of 5x+1, find the opposite of each term.
4x-1-\left(2+8x-\left(7x-5\right)\right)+9x=0
Combine 9x and -5x to get 4x.
4x-1-\left(2+8x-7x-\left(-5\right)\right)+9x=0
To find the opposite of 7x-5, find the opposite of each term.
4x-1-\left(2+8x-7x+5\right)+9x=0
The opposite of -5 is 5.
4x-1-\left(2+x+5\right)+9x=0
Combine 8x and -7x to get x.
4x-1-\left(7+x\right)+9x=0
Add 2 and 5 to get 7.
4x-1-7-x+9x=0
To find the opposite of 7+x, find the opposite of each term.
4x-8-x+9x=0
Subtract 7 from -1 to get -8.
3x-8+9x=0
Combine 4x and -x to get 3x.
12x-8=0
Combine 3x and 9x to get 12x.
12x=8
Add 8 to both sides. Anything plus zero gives itself.
x=\frac{8}{12}
Divide both sides by 12.
x=\frac{2}{3}
Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.