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2x+1=\frac{1}{4}\times 5
Multiply both sides by 5.
2x+1=\frac{5}{4}
Multiply \frac{1}{4} and 5 to get \frac{5}{4}.
2x=\frac{5}{4}-1
Subtract 1 from both sides.
2x=\frac{5}{4}-\frac{4}{4}
Convert 1 to fraction \frac{4}{4}.
2x=\frac{5-4}{4}
Since \frac{5}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.
2x=\frac{1}{4}
Subtract 4 from 5 to get 1.
x=\frac{\frac{1}{4}}{2}
Divide both sides by 2.
x=\frac{1}{4\times 2}
Express \frac{\frac{1}{4}}{2} as a single fraction.
x=\frac{1}{8}
Multiply 4 and 2 to get 8.