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3\left(11x-3x\right)=2\left(4+2x\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3\times 8x=2\left(4+2x\right)
Combine 11x and -3x to get 8x.
24x=2\left(4+2x\right)
Multiply 3 and 8 to get 24.
24x=8+4x
Use the distributive property to multiply 2 by 4+2x.
24x-4x=8
Subtract 4x from both sides.
20x=8
Combine 24x and -4x to get 20x.
x=\frac{8}{20}
Divide both sides by 20.
x=\frac{2}{5}
Reduce the fraction \frac{8}{20} to lowest terms by extracting and canceling out 4.