Question

Solve the equation.

$2\left(a-1\right)=8a-6$

Short answer

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

Step-by-step solution

Step 1- Consider the equation.

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

Step 2- Step description.

Simplify the equation as follows:

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

Step 3- Step description.

Simplify the equation as follows:

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

Divide both sides of the equation by 6.

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

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