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Solve the following equation for x:

7x - 5 = 3x + 15

x=

1 answer

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

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

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

This simplifies to:

\[ 4x - 5 = 15 \]

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

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

This simplifies to:

\[ 4x = 20 \]

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

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

This gives:

\[ x = 5 \]

So the solution is:

\[ \boxed{5} \]