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6x=\frac{5}{2}-2
Subtract 2 from both sides.
6x=\frac{5}{2}-\frac{4}{2}
Convert 2 to fraction \frac{4}{2}.
6x=\frac{5-4}{2}
Since \frac{5}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.
6x=\frac{1}{2}
Subtract 4 from 5 to get 1.
x=\frac{\frac{1}{2}}{6}
Divide both sides by 6.
x=\frac{1}{2\times 6}
Express \frac{\frac{1}{2}}{6} as a single fraction.
x=\frac{1}{12}
Multiply 2 and 6 to get 12.