Solve for x
x=17
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3\left(x-1\right)=12+2\left(x+1\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x-3=12+2\left(x+1\right)
Use the distributive property to multiply 3 by x-1.
3x-3=12+2x+2
Use the distributive property to multiply 2 by x+1.
3x-3=14+2x
Add 12 and 2 to get 14.
3x-3-2x=14
Subtract 2x from both sides.
x-3=14
Combine 3x and -2x to get x.
x=14+3
Add 3 to both sides.
x=17
Add 14 and 3 to get 17.
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