Solve for x
x = -\frac{32}{5} = -6\frac{2}{5} = -6.4
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2\left(x+1\right)-\left(x-2\right)=36+6x
Multiply both sides of the equation by 6, the least common multiple of 3,6.
2x+2-\left(x-2\right)=36+6x
Use the distributive property to multiply 2 by x+1.
2x+2-x-\left(-2\right)=36+6x
To find the opposite of x-2, find the opposite of each term.
2x+2-x+2=36+6x
The opposite of -2 is 2.
x+2+2=36+6x
Combine 2x and -x to get x.
x+4=36+6x
Add 2 and 2 to get 4.
x+4-6x=36
Subtract 6x from both sides.
-5x+4=36
Combine x and -6x to get -5x.
-5x=36-4
Subtract 4 from both sides.
-5x=32
Subtract 4 from 36 to get 32.
x=\frac{32}{-5}
Divide both sides by -5.
x=-\frac{32}{5}
Fraction \frac{32}{-5} can be rewritten as -\frac{32}{5} by extracting the negative sign.
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