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2x\times 12-8=2+2x\left(5-7\right)
Add 5 and 7 to get 12.
24x-8=2+2x\left(5-7\right)
Multiply 2 and 12 to get 24.
24x-8=2+2x\left(-2\right)
Subtract 7 from 5 to get -2.
24x-8=2-4x
Multiply 2 and -2 to get -4.
24x-8+4x=2
Add 4x to both sides.
28x-8=2
Combine 24x and 4x to get 28x.
28x=2+8
Add 8 to both sides.
28x=10
Add 2 and 8 to get 10.
x=\frac{10}{28}
Divide both sides by 28.
x=\frac{5}{14}
Reduce the fraction \frac{10}{28} to lowest terms by extracting and canceling out 2.