Question

Solve the equation.

$7w+2=3w-6$

Short answer

The solution is $w=-2$.

Step-by-step solution

Step 1- Consider the equation.

Consider the equation $7w+2=3w-6$.

Step 2- Step description.

$\begin{array}{l}7w+2=3w-6\\ 7w-3w=-6-2\end{array}$

Step 3- Step description.

Simplify the equation as follows:

$\begin{array}{l}7w-3w=-6-2\\ 4w=-8\end{array}$

Divide both sides of the equation by 4

$\begin{array}{l}4w=-8\\ w=-\frac{8}{4}\\ w=-2\end{array}$

Therefore, the solution is$w=-2$.