To solve the equation \(-5x - 3 = 8x - 1\), follow these steps:
Add \(5x\) to both sides to get all \(x\) terms on one side: \[ -3 = 8x + 5x - 1 \] This simplifies to: \[ -3 = 13x - 1 \]
Add 1 to both sides to isolate the \(x\) term: \[ -3 + 1 = 13x \] This simplifies to: \[ -2 = 13x \]
Divide both sides by 13 to solve for \(x\): \[ x = -\frac{2}{13} \]
So, the solution to the equation is: \[ x = -\frac{2}{13} \]