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