Question

4​(xminus​6)plus2equals6xminus8

Answer 1

Let's solve the equation step by step:

Given:
\[ 4(x - 6) + 2 = 6x - 8 \]

1. Distribute the \(4\) on the left side:
\[ 4x - 24 + 2 = 6x - 8 \]

2. Combine like terms on the left side:
\[ 4x - 22 = 6x - 8 \]

3. Now, we want to isolate \(x\). First, let's move \(4x\) to the right side:
\[ -22 = 6x - 4x - 8 \]

4. Simplify the right side:
\[ -22 = 2x - 8 \]

5. Next, add \(8\) to both sides to isolate the term with \(x\):
\[ -22 + 8 = 2x \]
\[ -14 = 2x \]

6. Finally, divide both sides by \(2\) to solve for \(x\):
\[ x = -7 \]

So, the solution to the equation is:
\[ x = -7 \]