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4x+2x-6=2\left(x+2\right)
Use the distributive property to multiply 2 by x-3.
6x-6=2\left(x+2\right)
Combine 4x and 2x to get 6x.
6x-6=2x+4
Use the distributive property to multiply 2 by x+2.
6x-6-2x=4
Subtract 2x from both sides.
4x-6=4
Combine 6x and -2x to get 4x.
4x=4+6
Add 6 to both sides.
4x=10
Add 4 and 6 to get 10.
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.