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2\left(9-x\right)+2x-10=4x+12
Multiply both sides of the equation by 4, the least common multiple of 2,4.
18-2x+2x-10=4x+12
Use the distributive property to multiply 2 by 9-x.
18-10=4x+12
Combine -2x and 2x to get 0.
8=4x+12
Subtract 10 from 18 to get 8.
4x+12=8
Swap sides so that all variable terms are on the left hand side.
4x=8-12
Subtract 12 from both sides.
4x=-4
Subtract 12 from 8 to get -4.
x=\frac{-4}{4}
Divide both sides by 4.
x=-1
Divide -4 by 4 to get -1.