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x\times 2.5+2=100\times 0.5
Multiply 2 and 1 to get 2.
x\times 2.5+2=50
Multiply 100 and 0.5 to get 50.
x\times 2.5=50-2
Subtract 2 from both sides.
x\times 2.5=48
Subtract 2 from 50 to get 48.
x=\frac{48}{2.5}
Divide both sides by 2.5.
x=\frac{480}{25}
Expand \frac{48}{2.5} by multiplying both numerator and the denominator by 10.
x=\frac{96}{5}
Reduce the fraction \frac{480}{25} to lowest terms by extracting and canceling out 5.