Solve for x
x=8
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2\left(x-2\right)+6x=12x-3\left(2x-4\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x-4+6x=12x-3\left(2x-4\right)
Use the distributive property to multiply 2 by x-2.
8x-4=12x-3\left(2x-4\right)
Combine 2x and 6x to get 8x.
8x-4=12x-6x+12
Use the distributive property to multiply -3 by 2x-4.
8x-4=6x+12
Combine 12x and -6x to get 6x.
8x-4-6x=12
Subtract 6x from both sides.
2x-4=12
Combine 8x and -6x to get 2x.
2x=12+4
Add 4 to both sides.
2x=16
Add 12 and 4 to get 16.
x=\frac{16}{2}
Divide both sides by 2.
x=8
Divide 16 by 2 to get 8.
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