To solve the equation \( 4 - 5x = 3 + x \), follow these steps:
- Start by isolating the variable \( x \). First, get all the \( x \) terms on one side of the equation. You can do this by adding \( 5x \) to both sides of the equation:
\[ 4 = 3 + x + 5x \]
This simplifies to:
\[ 4 = 3 + 6x \]
- Next, subtract \( 3 \) from both sides to isolate the term with \( x \):
\[ 4 - 3 = 6x \]
This simplifies to:
\[ 1 = 6x \]
- Now, divide both sides by \( 6 \) to solve for \( x \):
\[ x = \frac{1}{6} \]
So, \( x \) equals \( \frac{1}{6} \).