Question

Solve for x. (x-8a)/ 6 = 3a-2x

Answer 1

Given the equation:

`(x-8a)/(6)=3a-2x`

To solve for x, first we move the 6 to the other side of the equation:

`\begin{gathered} (x-8a)/(6)=3a-2x \\ \Rightarrow x-8a=(3a-2x)\cdot6 \end{gathered}`

Since the 6 was dividing, we pass it to the other side multiplying. Now we apply the distributive property and move the term -8a to the other side:

`\begin{gathered} x-8a=(3a-2x)\cdot6 \\ \Rightarrow x-8a=18a-12x \\ \Rightarrow x=18a-12x+8a \\ \end{gathered}`

Finally, we move the -12 to the other side with its sign changed:

`\begin{gathered} x+12x=18a+8a=26a \\ \Rightarrow13x=26a \\ \Rightarrow x=(26)/(13)a=2a \\ x=2a \end{gathered}`

therefore, x=2a