Question

Verify by substitution that the solution(root) of:

$2x+8=5x+2$ is $2$

Answer 1

Step 1: Solving L.H.S.

Consider L.H.S. $2x+8$

Put the value of x which is $2$

$$\begin{gathered} =2\times 2+8 \\ =4+8 \\ =12 \end{gathered}$$

Step 2: Solving R.H.S.

Consider R.H.S. $5x+2$

Put the value of x which is $2$

$$\begin{gathered} =5\times 2+2 \\ =10+2 \\ =12 \end{gathered}$$

Step 3: Comparing L.H.S. and R.H.S.

$12=12$

LHS $=$RHS

Hence, the solution of $2x+8=5x+2$ is $2$.