Solve for x
x=160
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100\times 12=x\times 7.5
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100x, the least common multiple of x,100.
1200=x\times 7.5
Multiply 100 and 12 to get 1200.
x\times 7.5=1200
Swap sides so that all variable terms are on the left hand side.
x=\frac{1200}{7.5}
Divide both sides by 7.5.
x=\frac{12000}{75}
Expand \frac{1200}{7.5} by multiplying both numerator and the denominator by 10.
x=160
Divide 12000 by 75 to get 160.
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