Solve for x
x=4
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\left(5x-10\right)\times 36=24\left(4x-1\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 120\left(x-2\right), the least common multiple of 24,5x-10.
180x-360=24\left(4x-1\right)
Use the distributive property to multiply 5x-10 by 36.
180x-360=96x-24
Use the distributive property to multiply 24 by 4x-1.
180x-360-96x=-24
Subtract 96x from both sides.
84x-360=-24
Combine 180x and -96x to get 84x.
84x=-24+360
Add 360 to both sides.
84x=336
Add -24 and 360 to get 336.
x=\frac{336}{84}
Divide both sides by 84.
x=4
Divide 336 by 84 to get 4.
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