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x-6=10-6\left(x-2\right)
Multiply both sides of the equation by 2.
x-6=10-6x+12
Use the distributive property to multiply -6 by x-2.
x-6=22-6x
Add 10 and 12 to get 22.
x-6+6x=22
Add 6x to both sides.
7x-6=22
Combine x and 6x to get 7x.
7x=22+6
Add 6 to both sides.
7x=28
Add 22 and 6 to get 28.
x=\frac{28}{7}
Divide both sides by 7.
x=4
Divide 28 by 7 to get 4.