Question

1. \\(-8x + 4 = -6x + 24\\)

Explanation:

Step1: Add \(8x\) to both sides

To eliminate the \(-8x\) on the left, we add \(8x\) to each side. This gives:
\(-8x + 4 + 8x = -6x + 24 + 8x\)
Simplifying, we get \(4 = 2x + 24\).

Step2: Subtract 24 from both sides

To isolate the term with \(x\), we subtract 24 from each side:
\(4 - 24 = 2x + 24 - 24\)
Simplifying, we have \(-20 = 2x\).

Step3: Divide by 2

To solve for \(x\), divide both sides by 2:
\(\frac{-20}{2} = \frac{2x}{2}\)
This simplifies to \(x = -10\).

Answer:

\(x = -10\)