To solve the equation \( 8x - 5 = 3x + 20 \), follow these steps:
-
First, get all the terms involving \( x \) on one side and the constant terms on the other side. Subtract \( 3x \) from both sides:
\[ 8x - 3x - 5 = 20 \]
This simplifies to:
\[ 5x - 5 = 20 \]
-
Next, add 5 to both sides to isolate the term with \( x \):
\[ 5x = 20 + 5 \]
This simplifies to:
\[ 5x = 25 \]
-
Finally, divide both sides by 5 to solve for \( x \):
\[ x = \frac{25}{5} \]
This gives:
\[ x = 5 \]
So, the solution is \( x = 5 \).