Question

4x−4=
2x+8

Answer 1

To solve the equation \(4x - 4 = 2x + 8\), follow these steps:

1. Start by getting all terms involving \(x\) on one side and constant terms on the other side. We can do this by subtracting \(2x\) from both sides:

\[
4x - 2x - 4 = 8
\]

This simplifies to:

\[
2x - 4 = 8
\]

2. Next, add \(4\) to both sides to isolate the term with \(x\):

\[
2x = 8 + 4
\]

This simplifies to:

\[
2x = 12
\]

3. Now, divide both sides by \(2\) to solve for \(x\):

\[
x = \frac{12}{2}
\]

Which simplifies to:

\[
x = 6
\]

So, the solution to the equation \(4x - 4 = 2x + 8\) is \(x = 6\).