Solve for x
x=60
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10x\times \frac{1}{5}+10x\times \frac{7}{10}=10\times 18+10\times 36
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of 5,10,x.
\frac{10}{5}x+10x\times \frac{7}{10}=10\times 18+10\times 36
Multiply 10 and \frac{1}{5} to get \frac{10}{5}.
2x+10x\times \frac{7}{10}=10\times 18+10\times 36
Divide 10 by 5 to get 2.
2x+7x=10\times 18+10\times 36
Cancel out 10 and 10.
9x=10\times 18+10\times 36
Combine 2x and 7x to get 9x.
9x=180+360
Multiply 10 and 18 to get 180. Multiply 10 and 36 to get 360.
9x=540
Add 180 and 360 to get 540.
x=\frac{540}{9}
Divide both sides by 9.
x=60
Divide 540 by 9 to get 60.
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