Question

Solve the following equations and check the solutions obtained.

$3x-2=22$

Answer 1

Step 1: Solve the equation:

We have, $3x-2=22$

Adding $2$ both the sides,

$$\begin{gathered} 3x-2+2=22+2 \\ \Rightarrow 3x=24 \end{gathered}$$

Dividing both the sides by $3$

$$\begin{gathered} \frac{3x}{3}=\frac{24}{3} \\ \Rightarrow x=8 \end{gathered}$$

Hence, $x=8$ is the solution of the given equation.

Step 2: Check the solution

Given equation is $3x-2=22$

At, $x=8$

$L.H.S.=3x-2=3\times 8-2=24-2=22$

and, $R.H.S.=22$

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

Hence, $x=8$ is the solution of the given equation.