Solve for x
x = \frac{15}{4} = 3\frac{3}{4} = 3.75
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15=15x\times \frac{1}{5}+15x\times \frac{1}{15}
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 x,5,15.
15=\frac{15}{5}x+15x\times \frac{1}{15}
Multiply 15 and \frac{1}{5} to get \frac{15}{5}.
15=3x+15x\times \frac{1}{15}
Divide 15 by 5 to get 3.
15=3x+x
Cancel out 15 and 15.
15=4x
Combine 3x and x to get 4x.
4x=15
Swap sides so that all variable terms are on the left hand side.
x=\frac{15}{4}
Divide both sides by 4.
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