Let’s solve the equation step by step as described.
- You start with the expression on the left side, \( \frac{5}{1} (5x - 15) = 9x + 9 \).
- Distributing \( \frac{5}{1} \) to \( (5x - 15) \), we have:
\( 5(5x) - 5(15) = 25x - 75 \).
So, the equation becomes: \[ 25x - 75 = 9x + 9. \]
-
Next, to isolate \( x \), we want all the \( x \) terms on one side. You mentioned subtracting \( x \) from both sides: \[ 25x - 75 - 9x = 9. \]
-
This simplifies to: \[ (25x - 9x) - 75 = 9, \] \[ 16x - 75 = 9. \]
-
Now, we can get rid of the constant on the left side (add 75 to both sides): \[ 16x - 75 + 75 = 9 + 75, \] \[ 16x = 84. \]
-
Now, to solve for \( x \), divide both sides by 16: \[ x = \frac{84}{16}. \]
-
Simplifying this fraction gives: \[ x = \frac{21}{4}. \]
Therefore, the value of \( x \) is \( \frac{21}{4} \) or \( 5.25 \) in decimal form.