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8x-3x+6=2x-2\left(x+1\right)
Use the distributive property to multiply -3 by x-2.
5x+6=2x-2\left(x+1\right)
Combine 8x and -3x to get 5x.
5x+6=2x-2x-2
Use the distributive property to multiply -2 by x+1.
5x+6=-2
Combine 2x and -2x to get 0.
5x=-2-6
Subtract 6 from both sides.
5x=-8
Subtract 6 from -2 to get -8.
x=\frac{-8}{5}
Divide both sides by 5.
x=-\frac{8}{5}
Fraction \frac{-8}{5} can be rewritten as -\frac{8}{5} by extracting the negative sign.