Solve for x
x = -\frac{7}{4} = -1\frac{3}{4} = -1.75
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5-3x-2=8x+11-\left(3x-6\right)
Add -4 and 6 to get 2.
3-3x=8x+11-\left(3x-6\right)
Subtract 2 from 5 to get 3.
3-3x=8x+11-3x-\left(-6\right)
To find the opposite of 3x-6, find the opposite of each term.
3-3x=8x+11-3x+6
The opposite of -6 is 6.
3-3x=5x+11+6
Combine 8x and -3x to get 5x.
3-3x=5x+17
Add 11 and 6 to get 17.
3-3x-5x=17
Subtract 5x from both sides.
3-8x=17
Combine -3x and -5x to get -8x.
-8x=17-3
Subtract 3 from both sides.
-8x=14
Subtract 3 from 17 to get 14.
x=\frac{14}{-8}
Divide both sides by -8.
x=-\frac{7}{4}
Reduce the fraction \frac{14}{-8} to lowest terms by extracting and canceling out 2.
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