Question

Solve the following equation. Type your answer as a numeral number in the box. 2x+11=7x−9

Answer 1

To solve the equation \( 2x + 11 = 7x - 9 \), follow these steps:

1. Subtract \( 2x \) from both sides:
\[
11 = 7x - 2x - 9
\]
This simplifies to:
\[
11 = 5x - 9
\]

2. Add \( 9 \) to both sides:
\[
11 + 9 = 5x
\]
This simplifies to:
\[
20 = 5x
\]

3. Divide both sides by \( 5 \):
\[
x = \frac{20}{5}
\]
This simplifies to:
\[
x = 4
\]

The solution to the equation is \( 4 \).