Solve for x
x = \frac{15}{2} = 7\frac{1}{2} = 7.5
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\left(2x-3\right)\times 5+\left(2x-3\right)\times 4=14x+3
Variable x cannot be equal to any of the values -\frac{3}{2},\frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by \left(2x-3\right)\left(2x+3\right), the least common multiple of 2x+3,4x^{2}-9.
10x-15+\left(2x-3\right)\times 4=14x+3
Use the distributive property to multiply 2x-3 by 5.
10x-15+8x-12=14x+3
Use the distributive property to multiply 2x-3 by 4.
18x-15-12=14x+3
Combine 10x and 8x to get 18x.
18x-27=14x+3
Subtract 12 from -15 to get -27.
18x-27-14x=3
Subtract 14x from both sides.
4x-27=3
Combine 18x and -14x to get 4x.
4x=3+27
Add 27 to both sides.
4x=30
Add 3 and 27 to get 30.
x=\frac{30}{4}
Divide both sides by 4.
x=\frac{15}{2}
Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.
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