Question

Solve the equation. Check your solution.

$2(x+1)=-2$

Answer 1

Step 1 : Solve the equation

We have, $2(x+1)=-2$

$\Rightarrow \frac{2(x+1)}{2}=\frac{-2}{2}$ [ Divide both sides by $2$ ]

$\Rightarrow x+1=-1$

$\Rightarrow x+1–1=-1–1$ [ Subtract $1$ from both sides ]

$\therefore x=-2$

Step 2 : Checking the solution:

Check both sides by putting $x=-2$ in the given inequality

We have, $2(x+1)=-2$

$\Rightarrow 2(-2+1)=-2$

$$\begin{gathered} \Rightarrow 2(-1)=-2 \\ \Rightarrow -2=-2 \\ \Rightarrow \mathrm{LHS}=\mathrm{RHS} \end{gathered}$$

Hence, the required solution is $x=-2$