Solve for x
x = \frac{9}{8} = 1\frac{1}{8} = 1.125
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\left(4x-5\right)\times 15=\left(2x-3\right)\times 10
Variable x cannot be equal to any of the values \frac{5}{4},\frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by \left(2x-3\right)\left(4x-5\right), the least common multiple of 2x-3,4x-5.
60x-75=\left(2x-3\right)\times 10
Use the distributive property to multiply 4x-5 by 15.
60x-75=20x-30
Use the distributive property to multiply 2x-3 by 10.
60x-75-20x=-30
Subtract 20x from both sides.
40x-75=-30
Combine 60x and -20x to get 40x.
40x=-30+75
Add 75 to both sides.
40x=45
Add -30 and 75 to get 45.
x=\frac{45}{40}
Divide both sides by 40.
x=\frac{9}{8}
Reduce the fraction \frac{45}{40} to lowest terms by extracting and canceling out 5.
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