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3\left(x-2\right)=2x-30
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x-6=2x-30
Use the distributive property to multiply 3 by x-2.
3x-6-2x=-30
Subtract 2x from both sides.
x-6=-30
Combine 3x and -2x to get x.
x=-30+6
Add 6 to both sides.
x=-24
Add -30 and 6 to get -24.