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\frac{3}{4}x-5=2.2
Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.
\frac{3}{4}x=2.2+5
Add 5 to both sides.
\frac{3}{4}x=7.2
Add 2.2 and 5 to get 7.2.
x=7.2\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x=\frac{36}{5}\times \frac{4}{3}
Convert decimal number 7.2 to fraction \frac{72}{10}. Reduce the fraction \frac{72}{10} to lowest terms by extracting and canceling out 2.
x=\frac{36\times 4}{5\times 3}
Multiply \frac{36}{5} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{144}{15}
Do the multiplications in the fraction \frac{36\times 4}{5\times 3}.
x=\frac{48}{5}
Reduce the fraction \frac{144}{15} to lowest terms by extracting and canceling out 3.