Question

2x-5=8x+7
solving steps

Answer 1

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

1. **Isolate the variable terms on one side:**
- First, subtract \( 2x \) from both sides:
\[
-5 = 8x - 2x + 7
\]
This simplifies to:
\[
-5 = 6x + 7
\]

2. **Isolate the constant terms:**
- Next, subtract \( 7 \) from both sides:
\[
-5 - 7 = 6x
\]
This simplifies to:
\[
-12 = 6x
\]

3. **Solve for \( x \):**
- Divide both sides by \( 6 \):
\[
x = \frac{-12}{6}
\]
This simplifies to:
\[
x = -2
\]

So, the solution to the equation \( 2x - 5 = 8x + 7 \) is \( x = -2 \).