# Solve the equation. 8-\frac{5}{x}=2+\frac{3}{x}

Solve the equation.
$$\displaystyle{8}-{\frac{{{5}}}{{{x}}}}={2}+{\frac{{{3}}}{{{x}}}}$$

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Step 1
Given: $$\displaystyle{8}-{\frac{{{5}}}{{{x}}}}={2}+{\frac{{{3}}}{{{x}}}}$$
To solve- The above equation.
Step 2
Explanation- Rewrite the given expression,
$$\displaystyle{8}-{\frac{{{5}}}{{{x}}}}={2}+{\frac{{{3}}}{{{x}}}}$$
Simplifying the above expression transfering the x-term from right hand side to left hand side and constant term from left hand side to right hand side, we get,
$$\displaystyle-{\frac{{{3}}}{{{x}}}}-{\frac{{{5}}}{{{x}}}}={2}-{8}$$
$$\displaystyle{\frac{{-{3}-{5}}}{{{x}}}}=-{6}$$
$$\displaystyle{\frac{{-{8}}}{{{x}}}}=-{6}$$
Further simplify the above expression, we get,
$$\displaystyle{x}={\frac{{-{8}}}{{-{6}}}}$$
$$\displaystyle{x}={\frac{{{4}}}{{{3}}}}$$
Answer- Hence, the solution of the expression $$\displaystyle{8}-{\frac{{{5}}}{{{x}}}}={2}+{\frac{{{3}}}{{{x}}}}\ {i}{s}\ {x}={\frac{{{4}}}{{{3}}}}$$.