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12x-4\left(x+1\right)-3\left(1+2x\right)=x
Multiply both sides of the equation by 12, the least common multiple of 3,4,12.
12x-4x-4-3\left(1+2x\right)=x
Use the distributive property to multiply -4 by x+1.
8x-4-3\left(1+2x\right)=x
Combine 12x and -4x to get 8x.
8x-4-3-6x=x
Use the distributive property to multiply -3 by 1+2x.
8x-7-6x=x
Subtract 3 from -4 to get -7.
2x-7=x
Combine 8x and -6x to get 2x.
2x-7-x=0
Subtract x from both sides.
x-7=0
Combine 2x and -x to get x.
x=7
Add 7 to both sides. Anything plus zero gives itself.