Solve for x
x=-\frac{1}{3}\approx -0.333333333
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3x-\left(-7x\right)-2=x-2\left(6x+5\right)-2-9x
To find the opposite of -7x+2, find the opposite of each term.
3x+7x-2=x-2\left(6x+5\right)-2-9x
The opposite of -7x is 7x.
10x-2=x-2\left(6x+5\right)-2-9x
Combine 3x and 7x to get 10x.
10x-2=x-12x-10-2-9x
Use the distributive property to multiply -2 by 6x+5.
10x-2=-11x-10-2-9x
Combine x and -12x to get -11x.
10x-2=-11x-12-9x
Subtract 2 from -10 to get -12.
10x-2=-20x-12
Combine -11x and -9x to get -20x.
10x-2+20x=-12
Add 20x to both sides.
30x-2=-12
Combine 10x and 20x to get 30x.
30x=-12+2
Add 2 to both sides.
30x=-10
Add -12 and 2 to get -10.
x=\frac{-10}{30}
Divide both sides by 30.
x=-\frac{1}{3}
Reduce the fraction \frac{-10}{30} to lowest terms by extracting and canceling out 10.
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