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3\times 5+4\times 3=36x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12x, the least common multiple of 4x,3x.
15+12=36x
Do the multiplications.
27=36x
Add 15 and 12 to get 27.
36x=27
Swap sides so that all variable terms are on the left hand side.
x=\frac{27}{36}
Divide both sides by 36.
x=\frac{3}{4}
Reduce the fraction \frac{27}{36} to lowest terms by extracting and canceling out 9.