Q76.

Solve the equation.

$7 w + 2 = 3 w - 6$

Verified

Answer

The solution is $w = - 2$ .

1Step 1- Consider the equation.

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

2Step 2- Step description.

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

3Step 3- Step description.

Simplify the equation as follows:

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

Divide both sides of the equation by 4

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

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