Solve for x
x=13
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15\times 4=\left(x-3\right)\times 6
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 15\left(x-3\right), the least common multiple of x-3,15.
60=\left(x-3\right)\times 6
Multiply 15 and 4 to get 60.
60=6x-18
Use the distributive property to multiply x-3 by 6.
6x-18=60
Swap sides so that all variable terms are on the left hand side.
6x=60+18
Add 18 to both sides.
6x=78
Add 60 and 18 to get 78.
x=\frac{78}{6}
Divide both sides by 6.
x=13
Divide 78 by 6 to get 13.
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