Solve for x
x = \frac{28}{13} = 2\frac{2}{13} \approx 2.153846154
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\left(2x-3\right)\times 3^{2}=5x+1
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.
\left(2x-3\right)\times 9=5x+1
Calculate 3 to the power of 2 and get 9.
18x-27=5x+1
Use the distributive property to multiply 2x-3 by 9.
18x-27-5x=1
Subtract 5x from both sides.
13x-27=1
Combine 18x and -5x to get 13x.
13x=1+27
Add 27 to both sides.
13x=28
Add 1 and 27 to get 28.
x=\frac{28}{13}
Divide both sides by 13.
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