Solve for x
x=16
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10\times 2+10x\times 3=2\times 2+10x\times \frac{31}{10}
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 x,5x,10.
20+10x\times 3=2\times 2+10x\times \frac{31}{10}
Multiply 10 and 2 to get 20.
20+30x=2\times 2+10x\times \frac{31}{10}
Multiply 10 and 3 to get 30.
20+30x=4+10x\times \frac{31}{10}
Multiply 2 and 2 to get 4.
20+30x=4+31x
Multiply 10 and \frac{31}{10} to get 31.
20+30x-31x=4
Subtract 31x from both sides.
20-x=4
Combine 30x and -31x to get -x.
-x=4-20
Subtract 20 from both sides.
-x=-16
Subtract 20 from 4 to get -16.
x=16
Multiply both sides by -1.
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