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8x-\frac{3}{4}=\frac{45}{4}
Multiply \frac{1}{4} and 3 to get \frac{3}{4}.
8x=\frac{45}{4}+\frac{3}{4}
Add \frac{3}{4} to both sides.
8x=\frac{45+3}{4}
Since \frac{45}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.
8x=\frac{48}{4}
Add 45 and 3 to get 48.
8x=12
Divide 48 by 4 to get 12.
x=\frac{12}{8}
Divide both sides by 8.
x=\frac{3}{2}
Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.