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-5-3x-\left(-24\right)=8x+11-\left(3x-6\right)
Multiply -4 and 6 to get -24.
-5-3x+24=8x+11-\left(3x-6\right)
The opposite of -24 is 24.
-5-3x+24=8x+11-3x-\left(-6\right)
To find the opposite of 3x-6, find the opposite of each term.
-5-3x+24=8x+11-3x+6
The opposite of -6 is 6.
-5-3x+24=5x+11+6
Combine 8x and -3x to get 5x.
-5-3x+24=5x+17
Add 11 and 6 to get 17.
19-3x=5x+17
Add -5 and 24 to get 19.
19-3x-5x=17
Subtract 5x from both sides.
19-8x=17
Combine -3x and -5x to get -8x.
-8x=17-19
Subtract 19 from both sides.
-8x=-2
Subtract 19 from 17 to get -2.
x=\frac{-2}{-8}
Divide both sides by -8.
x=\frac{1}{4}
Reduce the fraction \frac{-2}{-8} to lowest terms by extracting and canceling out -2.