Solve for x
x=-\frac{3}{4}=-0.75
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6\left(6-4\right)=4-5x-\left(6x-\left(3x+2\right)\right)
Multiply 2 and 3 to get 6.
6\times 2=4-5x-\left(6x-\left(3x+2\right)\right)
Subtract 4 from 6 to get 2.
12=4-5x-\left(6x-\left(3x+2\right)\right)
Multiply 6 and 2 to get 12.
12=4-5x-\left(6x-3x-2\right)
To find the opposite of 3x+2, find the opposite of each term.
12=4-5x-\left(3x-2\right)
Combine 6x and -3x to get 3x.
12=4-5x-3x-\left(-2\right)
To find the opposite of 3x-2, find the opposite of each term.
12=4-5x-3x+2
The opposite of -2 is 2.
12=4-8x+2
Combine -5x and -3x to get -8x.
12=6-8x
Add 4 and 2 to get 6.
6-8x=12
Swap sides so that all variable terms are on the left hand side.
-8x=12-6
Subtract 6 from both sides.
-8x=6
Subtract 6 from 12 to get 6.
x=\frac{6}{-8}
Divide both sides by -8.
x=-\frac{3}{4}
Reduce the fraction \frac{6}{-8} to lowest terms by extracting and canceling out 2.
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