Solve for x
x=-\frac{36}{95}\approx -0.378947368
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\left(12x+6\right)\times 16=\left(x+12\right)\times 2
Variable x cannot be equal to any of the values -12,-\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 6\left(x+12\right)\left(2x+1\right), the least common multiple of x+12,12x+6.
192x+96=\left(x+12\right)\times 2
Use the distributive property to multiply 12x+6 by 16.
192x+96=2x+24
Use the distributive property to multiply x+12 by 2.
192x+96-2x=24
Subtract 2x from both sides.
190x+96=24
Combine 192x and -2x to get 190x.
190x=24-96
Subtract 96 from both sides.
190x=-72
Subtract 96 from 24 to get -72.
x=\frac{-72}{190}
Divide both sides by 190.
x=-\frac{36}{95}
Reduce the fraction \frac{-72}{190} to lowest terms by extracting and canceling out 2.
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