Solve for x
x=4
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2\left(x-1\right)-\left(x+2\right)=3\left(4-x\right)
Multiply both sides of the equation by 6, the least common multiple of 3,6,2.
2x-2-\left(x+2\right)=3\left(4-x\right)
Use the distributive property to multiply 2 by x-1.
2x-2-x-2=3\left(4-x\right)
To find the opposite of x+2, find the opposite of each term.
x-2-2=3\left(4-x\right)
Combine 2x and -x to get x.
x-4=3\left(4-x\right)
Subtract 2 from -2 to get -4.
x-4=12-3x
Use the distributive property to multiply 3 by 4-x.
x-4+3x=12
Add 3x to both sides.
4x-4=12
Combine x and 3x to get 4x.
4x=12+4
Add 4 to both sides.
4x=16
Add 12 and 4 to get 16.
x=\frac{16}{4}
Divide both sides by 4.
x=4
Divide 16 by 4 to get 4.
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