# Solve linear equations in one variable and rational equations.

Question
Equations
Solve linear equations in one variable and rational equations.

2021-03-10
Step 1: To Find
We have to solve the linear equation in one variable and rational equations.
Step 2: Explanation
If we have a linear equation $$\displaystyle\frac{{5}}{{2}}{x}+\frac{{2}}{{3}}=−\frac{{7}}{{12}}$$ then the solution
$$\displaystyle\frac{{5}}{{2}}{x}+\frac{{2}}{{3}}=-\frac{{7}}{{12}}$$
$$\displaystyle\frac{{{15}{x}+{4}}}{{6}}=-\frac{{7}}{{12}}$$
$$\displaystyle{\left({15}{x}+{4}\right)}=-\frac{{{7}\times{6}}}{{12}}$$
$$\displaystyle{\left({15}{x}+{4}\right)}=-\frac{{7}}{{2}}$$
2(15x+4)=-7
30x+8=-7
30x=-7-8
30x=-15
$$\displaystyle{x}=-\frac{{15}}{{30}}$$
$$\displaystyle{x}=-\frac{{1}}{{2}}$$

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