1488x+69=52x+2024

To solve the equation \( 1488x + 69 = 52x + 2024 \), follow these steps:

1. Isolate the variable term on one side: Subtract \( 52x \) from both sides: \[ 1488x - 52x + 69 = 2024 \] This simplifies to: \[ 1436x + 69 = 2024 \]

2. Move the constant term to the other side: Subtract \( 69 \) from both sides: \[ 1436x = 2024 - 69 \] Calculating the right-hand side: \[ 2024 - 69 = 1955 \] So, we have: \[ 1436x = 1955 \]

3. Solve for \( x \): Divide both sides by \( 1436 \): \[ x = \frac{1955}{1436} \]

4. Simplify the fraction (if possible): Calculate \( x \): \[ x \approx 1.36 \]

Thus, the solution is: \[ x \approx 1.36 \]

For an exact value: \[ x = \frac{1955}{1436} \text{ (which can be further simplified if common factors exist.)} \]