Solve for x
x=13
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6\left(3x-3\right)-2\left(4+2x\right)=6\left(2x+14\right)-3\left(2+2x\right)
Multiply both sides of the equation by 12, the least common multiple of 2,6,4.
18x-18-2\left(4+2x\right)=6\left(2x+14\right)-3\left(2+2x\right)
Use the distributive property to multiply 6 by 3x-3.
18x-18-8-4x=6\left(2x+14\right)-3\left(2+2x\right)
Use the distributive property to multiply -2 by 4+2x.
18x-26-4x=6\left(2x+14\right)-3\left(2+2x\right)
Subtract 8 from -18 to get -26.
14x-26=6\left(2x+14\right)-3\left(2+2x\right)
Combine 18x and -4x to get 14x.
14x-26=12x+84-3\left(2+2x\right)
Use the distributive property to multiply 6 by 2x+14.
14x-26=12x+84-6-6x
Use the distributive property to multiply -3 by 2+2x.
14x-26=12x+78-6x
Subtract 6 from 84 to get 78.
14x-26=6x+78
Combine 12x and -6x to get 6x.
14x-26-6x=78
Subtract 6x from both sides.
8x-26=78
Combine 14x and -6x to get 8x.
8x=78+26
Add 26 to both sides.
8x=104
Add 78 and 26 to get 104.
x=\frac{104}{8}
Divide both sides by 8.
x=13
Divide 104 by 8 to get 13.
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