Solve for x
x=-4
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2\left(x+1\right)-3\left(x-2\right)=36+6x
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x+2-3\left(x-2\right)=36+6x
Use the distributive property to multiply 2 by x+1.
2x+2-3x+6=36+6x
Use the distributive property to multiply -3 by x-2.
-x+2+6=36+6x
Combine 2x and -3x to get -x.
-x+8=36+6x
Add 2 and 6 to get 8.
-x+8-6x=36
Subtract 6x from both sides.
-7x+8=36
Combine -x and -6x to get -7x.
-7x=36-8
Subtract 8 from both sides.
-7x=28
Subtract 8 from 36 to get 28.
x=\frac{28}{-7}
Divide both sides by -7.
x=-4
Divide 28 by -7 to get -4.
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