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2x-2+3\left(x+1\right)=4\left(x+2\right)
Use the distributive property to multiply 2 by x-1.
2x-2+3x+3=4\left(x+2\right)
Use the distributive property to multiply 3 by x+1.
5x-2+3=4\left(x+2\right)
Combine 2x and 3x to get 5x.
5x+1=4\left(x+2\right)
Add -2 and 3 to get 1.
5x+1=4x+8
Use the distributive property to multiply 4 by x+2.
5x+1-4x=8
Subtract 4x from both sides.
x+1=8
Combine 5x and -4x to get x.
x=8-1
Subtract 1 from both sides.
x=7
Subtract 1 from 8 to get 7.