Solve for x
x = -\frac{9}{2} = -4\frac{1}{2} = -4.5
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5-3x-\left(-4x\right)-6=8x+11-\left(3x-6\right)
To find the opposite of -4x+6, find the opposite of each term.
5-3x+4x-6=8x+11-\left(3x-6\right)
The opposite of -4x is 4x.
5+x-6=8x+11-\left(3x-6\right)
Combine -3x and 4x to get x.
-1+x=8x+11-\left(3x-6\right)
Subtract 6 from 5 to get -1.
-1+x=8x+11-3x-\left(-6\right)
To find the opposite of 3x-6, find the opposite of each term.
-1+x=8x+11-3x+6
The opposite of -6 is 6.
-1+x=5x+11+6
Combine 8x and -3x to get 5x.
-1+x=5x+17
Add 11 and 6 to get 17.
-1+x-5x=17
Subtract 5x from both sides.
-1-4x=17
Combine x and -5x to get -4x.
-4x=17+1
Add 1 to both sides.
-4x=18
Add 17 and 1 to get 18.
x=\frac{18}{-4}
Divide both sides by -4.
x=-\frac{9}{2}
Reduce the fraction \frac{18}{-4} to lowest terms by extracting and canceling out 2.
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