Solve for x
x = \frac{11}{2} = 5\frac{1}{2} = 5.5
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8\left(x+2\right)=\left(2x-1\right)\times 6
Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 8\left(2x-1\right), the least common multiple of 2x-1,8.
8x+16=\left(2x-1\right)\times 6
Use the distributive property to multiply 8 by x+2.
8x+16=12x-6
Use the distributive property to multiply 2x-1 by 6.
8x+16-12x=-6
Subtract 12x from both sides.
-4x+16=-6
Combine 8x and -12x to get -4x.
-4x=-6-16
Subtract 16 from both sides.
-4x=-22
Subtract 16 from -6 to get -22.
x=\frac{-22}{-4}
Divide both sides by -4.
x=\frac{11}{2}
Reduce the fraction \frac{-22}{-4} to lowest terms by extracting and canceling out -2.
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