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2x\left(1\times 3+1\right)=3-1
Multiply both sides of the equation by 6, the least common multiple of 3,2,6.
2x\left(3+1\right)=3-1
Multiply 1 and 3 to get 3.
2x\times 4=3-1
Add 3 and 1 to get 4.
8x=3-1
Multiply 2 and 4 to get 8.
8x=2
Subtract 1 from 3 to get 2.
x=\frac{2}{8}
Divide both sides by 8.
x=\frac{1}{4}
Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.