Solve for x
x=\frac{10}{11}\approx 0.909090909
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4\left(2x-1\right)=12-3\left(x+2\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
8x-4=12-3\left(x+2\right)
Use the distributive property to multiply 4 by 2x-1.
8x-4=12-3x-6
Use the distributive property to multiply -3 by x+2.
8x-4=6-3x
Subtract 6 from 12 to get 6.
8x-4+3x=6
Add 3x to both sides.
11x-4=6
Combine 8x and 3x to get 11x.
11x=6+4
Add 4 to both sides.
11x=10
Add 6 and 4 to get 10.
x=\frac{10}{11}
Divide both sides by 11.
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