Solve for x
x = -\frac{17}{2} = -8\frac{1}{2} = -8.5
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\left(4x-1\right)\times 36=24\left(5x-10\right)
Variable x cannot be equal to \frac{1}{4} since division by zero is not defined. Multiply both sides of the equation by 24\left(4x-1\right), the least common multiple of 24,4x-1.
144x-36=24\left(5x-10\right)
Use the distributive property to multiply 4x-1 by 36.
144x-36=120x-240
Use the distributive property to multiply 24 by 5x-10.
144x-36-120x=-240
Subtract 120x from both sides.
24x-36=-240
Combine 144x and -120x to get 24x.
24x=-240+36
Add 36 to both sides.
24x=-204
Add -240 and 36 to get -204.
x=\frac{-204}{24}
Divide both sides by 24.
x=-\frac{17}{2}
Reduce the fraction \frac{-204}{24} to lowest terms by extracting and canceling out 12.
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