Question

Solve the following equation for x:

7x - 5 = 3x + 15

x=

Answer 1

To solve the equation \( 7x - 5 = 3x + 15 \), follow these steps:

1. Subtract \( 3x \) from both sides:

\[
7x - 3x - 5 = 15
\]

This simplifies to:

\[
4x - 5 = 15
\]

2. Next, add \( 5 \) to both sides:

\[
4x - 5 + 5 = 15 + 5
\]

This simplifies to:

\[
4x = 20
\]

3. Now, divide both sides by \( 4 \):

\[
x = \frac{20}{4}
\]

This gives:

\[
x = 5
\]

So the solution is:

\[
\boxed{5}
\]