Solve for x
x=\frac{1}{2}=0.5
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6\times 2x+3\times 6=2\times 12
Variable x cannot be equal to \frac{5}{3} since division by zero is not defined. Multiply both sides of the equation by 6\left(3x-5\right), the least common multiple of 3x-5,6x-10,9x-15.
12x+3\times 6=2\times 12
Multiply 6 and 2 to get 12.
12x+18=2\times 12
Multiply 3 and 6 to get 18.
12x+18=24
Multiply 2 and 12 to get 24.
12x=24-18
Subtract 18 from both sides.
12x=6
Subtract 18 from 24 to get 6.
x=\frac{6}{12}
Divide both sides by 12.
x=\frac{1}{2}
Reduce the fraction \frac{6}{12} to lowest terms by extracting and canceling out 6.
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