Question

Solve the following equations and check the solutions obtained.

$3(x+2)=6$

Answer 1

Step 1: Solve the equation

We have, $3(x+2)=6$

Dividing both sides by $3$

$$\begin{gathered} \frac{3(x+2)}{3}=\frac{6}{3} \\ \Rightarrow x+2=2 \end{gathered}$$

Subtracting $2$ both the sides,

$$\begin{gathered} x+2-2=2-2 \\ \Rightarrow x+0=0 \\ \Rightarrow x=0 \end{gathered}$$

Hence, $x=0$ is the solution of the given equation.

Step 2: Check the solution

Given equation is $3(x+2)=6$

At, $x=0$

$L.H.S.=3(x+2)=3(0+2)=3\times 2=6$

and, $R.H.S.=6$

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

Hence, $x=0$ is the solution of the given equation.