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8x=2x+14+2\left(x-2\right)
Use the distributive property to multiply 2 by x+7.
8x=2x+14+2x-4
Use the distributive property to multiply 2 by x-2.
8x=4x+14-4
Combine 2x and 2x to get 4x.
8x=4x+10
Subtract 4 from 14 to get 10.
8x-4x=10
Subtract 4x from both sides.
4x=10
Combine 8x and -4x to get 4x.
x=\frac{10}{4}
Divide both sides by 4.
x=\frac{5}{2}
Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.