# Contain linear equations with constants in denominators. Solve each equation. x/5-1/2=x/6

Ayaana Buck 2021-07-02 Answered
Contain linear equations with constants in denominators. Solve each equation. $$\displaystyle\frac{{x}}{{5}}-\frac{{1}}{{2}}=\frac{{x}}{{6}}$$

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Aubree Mcintyre

$$\displaystyle\frac{{x}}{{5}}-\frac{{1}}{{2}}=\frac{{x}}{{6}}$$
$$\displaystyle{x}\frac{{{6}}}{{5}}{\left({6}\right)}-{1}{\left(\frac{{15}}{{2}}{\left({15}\right)}={x}\frac{{{5}}}{{6}}{\left({5}\right)}\right)}$$
$$\displaystyle{6}\frac{{x}}{{36}}-\frac{{15}}{{36}}={5}\frac{{x}}{{36}}$$
$$6x-15=5x$$
$$x-15=0$$
$$x=15$$