X+5=4(x+4)

To solve the equation \( X + 5 = 4(X + 4) \), follow these steps:

1. Distribute the \( 4 \) on the right side: \[ X + 5 = 4X + 16 \]

2. Move all terms involving \( X \) to one side and constant terms to the other side. Subtract \( X \) from both sides: \[ 5 = 4X - X + 16 \] This simplifies to: \[ 5 = 3X + 16 \]

3. Next, isolate \( 3X \) by subtracting \( 16 \) from both sides: \[ 5 - 16 = 3X \] So: \[ -11 = 3X \]

4. Finally, to solve for \( X \), divide both sides by \( 3 \): \[ X = -\frac{11}{3} \]

Thus, the solution to the equation is \( X = -\frac{11}{3} \).