Question

1. solve: \\(\frac{2x - 6}{3} = -12\\)

Explanation:

Step1: Multiply both sides by 3

To eliminate the denominator, we multiply both sides of the equation \(\frac{2x - 6}{3}=-12\) by 3. This gives us \(3\times\frac{2x - 6}{3}=3\times(-12)\), which simplifies to \(2x - 6=-36\).

Step2: Add 6 to both sides

Now, we add 6 to both sides of the equation \(2x - 6=-36\) to isolate the term with \(x\). So, \(2x - 6 + 6=-36 + 6\), which simplifies to \(2x=-30\).

Step3: Divide by 2

Finally, we divide both sides of the equation \(2x=-30\) by 2 to solve for \(x\). That is, \(\frac{2x}{2}=\frac{-30}{2}\), which gives \(x = - 15\).

Answer:

\(x=-15\)