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7x=-\frac{5}{2}
Subtract \frac{5}{2} from both sides. Anything subtracted from zero gives its negation.
x=\frac{-\frac{5}{2}}{7}
Divide both sides by 7.
x=\frac{-5}{2\times 7}
Express \frac{-\frac{5}{2}}{7} as a single fraction.
x=\frac{-5}{14}
Multiply 2 and 7 to get 14.
x=-\frac{5}{14}
Fraction \frac{-5}{14} can be rewritten as -\frac{5}{14} by extracting the negative sign.