Solve for x
x = \frac{9}{4} = 2\frac{1}{4} = 2.25
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\left(2x-5\right)\times 3=3-2x
Variable x cannot be equal to any of the values \frac{3}{2},\frac{5}{2} since division by zero is not defined. Multiply both sides of the equation by \left(2x-5\right)\left(2x-3\right), the least common multiple of 2x-3,5-2x.
6x-15=3-2x
Use the distributive property to multiply 2x-5 by 3.
6x-15+2x=3
Add 2x to both sides.
8x-15=3
Combine 6x and 2x to get 8x.
8x=3+15
Add 15 to both sides.
8x=18
Add 3 and 15 to get 18.
x=\frac{18}{8}
Divide both sides by 8.
x=\frac{9}{4}
Reduce the fraction \frac{18}{8} to lowest terms by extracting and canceling out 2.
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