Solve for x
x=6
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5\times 9=3\left(4x-9\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 15x, the least common multiple of 3x,5x.
45=3\left(4x-9\right)
Multiply 5 and 9 to get 45.
45=12x-27
Use the distributive property to multiply 3 by 4x-9.
12x-27=45
Swap sides so that all variable terms are on the left hand side.
12x=45+27
Add 27 to both sides.
12x=72
Add 45 and 27 to get 72.
x=\frac{72}{12}
Divide both sides by 12.
x=6
Divide 72 by 12 to get 6.
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