10x-5=48x+18-5x

To solve the equation \( 10x - 5 = 48x + 18 - 5x \), let's first simplify the right side of the equation.

1. Combine like terms on the right side: \[ 48x - 5x + 18 = 43x + 18 \]

Now, we can rewrite the equation: \[ 10x - 5 = 43x + 18 \]

2. Next, let's isolate \( x \) by getting all the \( x \) terms on one side and the constant terms on the other. We'll start by subtracting \( 43x \) from both sides: \[ 10x - 43x - 5 = 18 \] \[ -33x - 5 = 18 \]

3. Now, add \( 5 \) to both sides: \[ -33x = 18 + 5 \] \[ -33x = 23 \]

4. Finally, divide by \( -33 \) to solve for \( x \): \[ x = \frac{23}{-33} \] \[ x = -\frac{23}{33} \]

So, the solution is: \[ x = -\frac{23}{33} \]