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8x-x+3=2\left(2x+2\right)
Multiply both sides of the equation by 6, the least common multiple of 6,3.
7x+3=2\left(2x+2\right)
Combine 8x and -x to get 7x.
7x+3=4x+4
Use the distributive property to multiply 2 by 2x+2.
7x+3-4x=4
Subtract 4x from both sides.
3x+3=4
Combine 7x and -4x to get 3x.
3x=4-3
Subtract 3 from both sides.
3x=1
Subtract 3 from 4 to get 1.
x=\frac{1}{3}
Divide both sides by 3.