To solve the equation \( 5x - 4.5 = 3x + 2.5 \), follow these steps:
Isolate the terms involving \( x \): Subtract \( 3x \) from both sides: \[ 5x - 3x - 4.5 = 2.5 \] This simplifies to: \[ 2x - 4.5 = 2.5 \]
Add \( 4.5 \) to both sides: \[ 2x = 2.5 + 4.5 \] Which simplifies to: \[ 2x = 7 \]
Divide by 2: \[ x = \frac{7}{2} = 3.5 \]
So, the solution to the equation \( 5x - 4.5 = 3x + 2.5 \) is \( x = 3.5 \).