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x-8+12x=8\left(2x+2\right)
Multiply both sides of the equation by 4.
13x-8=8\left(2x+2\right)
Combine x and 12x to get 13x.
13x-8=16x+16
Use the distributive property to multiply 8 by 2x+2.
13x-8-16x=16
Subtract 16x from both sides.
-3x-8=16
Combine 13x and -16x to get -3x.
-3x=16+8
Add 8 to both sides.
-3x=24
Add 16 and 8 to get 24.
x=\frac{24}{-3}
Divide both sides by -3.
x=-8
Divide 24 by -3 to get -8.