Question

Solve the equation. Check your solution.

$-2\mathrm{w}+4=12$

Answer 1

Step 1 : Solve the equation.

We have,

$$\begin{gathered} \Rightarrow -2\mathrm{w}+4=12 \\ \Rightarrow -2\mathrm{w}=12-4[\mathrm{Transposing}4\mathrm{to}\mathrm{the}\mathrm{RHS}] \\ \Rightarrow -2\mathrm{w}=8 \\ \Rightarrow \mathrm{w}=\frac{8}{-2}[\mathrm{Dividing}\mathrm{both}\mathrm{sides}\mathrm{by}(-2\left)\right] \\ \therefore \mathrm{w}=-4 \end{gathered}$$

Step 2 : Check the solution

Put the value of $\mathrm{w}=-4$ in the given equation.

$$\begin{gathered} \Rightarrow -2\times \left(-4\right)+4=12 \\ \Rightarrow 8+4=12 \\ \Rightarrow 12=12,\mathrm{which}\mathrm{is}\mathrm{true} \end{gathered}$$

Hence, the value of $\mathrm{w}$ is $-4$.