Solve for x
x=10
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30+30x\times \frac{1}{15}=5x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 30x, the least common multiple of x,15,6.
30+\frac{30}{15}x=5x
Multiply 30 and \frac{1}{15} to get \frac{30}{15}.
30+2x=5x
Divide 30 by 15 to get 2.
30+2x-5x=0
Subtract 5x from both sides.
30-3x=0
Combine 2x and -5x to get -3x.
-3x=-30
Subtract 30 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-30}{-3}
Divide both sides by -3.
x=10
Divide -30 by -3 to get 10.
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