Q77.

Solve the equation.

$2 (a - 1) = 8 a - 6$

Verified

Answer

The solution is $a = \frac{2}{3}$ .

1Step 1- Consider the equation.

Consider the equation $2 (a - 1) = 8 a - 6$ .

2Step 2- Step description.

Simplify the equation as follows:

$\begin{array}{l} 2 (a - 1) = 8 a - 6 \\ 2 a - 2 = 8 a - 6 \\ 2 a - 8 a = - 6 + 2 \end{array}$

3Step 3- Step description.

Simplify the equation as follows:

$\begin{matrix} 2 a - 8 a = - 6 + 2 \\ - 6 a = - 4 \\ 6 a = 4 \end{matrix}$

Divide both sides of the equation by 6.

$\begin{array}{l} 6 a = 4 \\ a = \frac{4}{6} \\ a = \frac{2}{3} \end{array}$

Therefore, the solution is $a = \frac{2}{3}$ .