Solve for x
x=-4
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2\left(x+1\right)+3\left(x-2\right)=-24
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x+2+3\left(x-2\right)=-24
Use the distributive property to multiply 2 by x+1.
2x+2+3x-6=-24
Use the distributive property to multiply 3 by x-2.
5x+2-6=-24
Combine 2x and 3x to get 5x.
5x-4=-24
Subtract 6 from 2 to get -4.
5x=-24+4
Add 4 to both sides.
5x=-20
Add -24 and 4 to get -20.
x=\frac{-20}{5}
Divide both sides by 5.
x=-4
Divide -20 by 5 to get -4.
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