Question

Solve the equation.

$\frac{2x+3}{5}=\frac{3}{10}$

Short answer

The solution is $x=-\frac{3}{4}$.

Step-by-step solution

Step 1- Consider the equation.

Consider the equation $\frac{2x+3}{5}=\frac{3}{10}$.

Cross multiply the equations.

Step 2- Step description.

$\begin{array}{c}\frac{2x+3}{5}=\frac{3}{10}\\ 10(2x+3)=3\left(5\right)\end{array}$

Step 3- Step description.

Simplify the equation as follows:

$\begin{array}{c}10(2x+3)=3\left(5\right)\\ 20x+30=15\\ 20x=15-30\\ 20x=-15\end{array}$

Divide both sides of the equation by 20.

$\begin{array}{c}20x=-15\\ x=-\frac{15}{20}\\ x=-\frac{3}{4}\end{array}$

Therefore, the solution is $x=-\frac{3}{4}$.