Question

Solve the following equations and check the solutions obtained.

$4(m+3)=20$

Answer 1

Step 1: Solve the equation

We have, $4(m+3)=20$

Dividing both sides by $4$

$$\begin{gathered} \frac{4(m+3)}{4}=\frac{20}{4} \\ \Rightarrow m+3=5 \end{gathered}$$

Subtracting $3$ both the sides,

$$\begin{gathered} m+3-3=5-3 \\ \Rightarrow m+0=2 \\ \Rightarrow m=2 \end{gathered}$$

Hence, $m=2$ is the solution of the given equation.

Step 2: Check the solution

Given equation is $4(m+3)=20$

At, $x=0$

$L.H.S.=4(m+3)=4(2+3)=4\times 5=20$

and, $R.H.S.=20$

Clearly, $L.H.S.=R.H.S.$

Hence, $m=2$ is the solution of the given equation.