Question

solving steps for 2x-5=8x+7

Answer 1

To solve the equation \(2x - 5 = 8x + 7\), follow these steps:

### Step 1: Move all terms involving \(x\) to one side
Subtract \(2x\) from both sides of the equation:

\[
2x - 5 - 2x = 8x + 7 - 2x
\]

This simplifies to:

\[
-5 = 6x + 7
\]

### Step 2: Move constant terms to the other side
Next, subtract \(7\) from both sides:

\[
-5 - 7 = 6x + 7 - 7
\]

This simplifies to:

\[
-12 = 6x
\]

### Step 3: Solve for \(x\)
Now, divide both sides by \(6\):

\[
x = \frac{-12}{6}
\]

This simplifies to:

\[
x = -2
\]

### Conclusion
The solution to the equation \(2x - 5 = 8x + 7\) is:

\[
\boxed{-2}
\]