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2x+1=\frac{13}{4}
Divide both sides by 4.
2x=\frac{13}{4}-1
Subtract 1 from both sides.
2x=\frac{13}{4}-\frac{4}{4}
Convert 1 to fraction \frac{4}{4}.
2x=\frac{13-4}{4}
Since \frac{13}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.
2x=\frac{9}{4}
Subtract 4 from 13 to get 9.
x=\frac{\frac{9}{4}}{2}
Divide both sides by 2.
x=\frac{9}{4\times 2}
Express \frac{\frac{9}{4}}{2} as a single fraction.
x=\frac{9}{8}
Multiply 4 and 2 to get 8.