Solve for x
x = \frac{13}{5} = 2\frac{3}{5} = 2.6
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8+3=5\left(2x-3\right)
Variable x cannot be equal to \frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-3, the least common multiple of 2x-3,3-2x.
11=5\left(2x-3\right)
Add 8 and 3 to get 11.
11=10x-15
Use the distributive property to multiply 5 by 2x-3.
10x-15=11
Swap sides so that all variable terms are on the left hand side.
10x=11+15
Add 15 to both sides.
10x=26
Add 11 and 15 to get 26.
x=\frac{26}{10}
Divide both sides by 10.
x=\frac{13}{5}
Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.
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