Question

Solve the following equation: $\frac{2x}{3}=18$

Answer 1

Solve linear equations in one variable.

Step 1: Multiply both sides by $3$.

$\begin{array}{rcl}\frac{2x}{3}\times 3& =& 18\times 3\\ & \Rightarrow & 2x=54\end{array}$

Step 2: Divide both sides by $2$.

$\begin{array}{rcl}\frac{2x}{2}& =& \frac{54}{2}\\ & \Rightarrow & x=27\end{array}$

Hence, the solution of the equation $\frac{2x}{3}=18$ is $x=27$.