Solve for x
x=3
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3x-6-2\left(1+x\right)=5\left(-2x+4\right)+5
Use the distributive property to multiply 3 by x-2.
3x-6-2-2x=5\left(-2x+4\right)+5
Use the distributive property to multiply -2 by 1+x.
3x-8-2x=5\left(-2x+4\right)+5
Subtract 2 from -6 to get -8.
x-8=5\left(-2x+4\right)+5
Combine 3x and -2x to get x.
x-8=-10x+20+5
Use the distributive property to multiply 5 by -2x+4.
x-8=-10x+25
Add 20 and 5 to get 25.
x-8+10x=25
Add 10x to both sides.
11x-8=25
Combine x and 10x to get 11x.
11x=25+8
Add 8 to both sides.
11x=33
Add 25 and 8 to get 33.
x=\frac{33}{11}
Divide both sides by 11.
x=3
Divide 33 by 11 to get 3.
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