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2x=\frac{3}{4}-2
Subtract 2 from both sides.
2x=\frac{3}{4}-\frac{8}{4}
Convert 2 to fraction \frac{8}{4}.
2x=\frac{3-8}{4}
Since \frac{3}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.
2x=-\frac{5}{4}
Subtract 8 from 3 to get -5.
x=\frac{-\frac{5}{4}}{2}
Divide both sides by 2.
x=\frac{-5}{4\times 2}
Express \frac{-\frac{5}{4}}{2} as a single fraction.
x=\frac{-5}{8}
Multiply 4 and 2 to get 8.
x=-\frac{5}{8}
Fraction \frac{-5}{8} can be rewritten as -\frac{5}{8} by extracting the negative sign.