16+6x=5(1-2x) -13

To solve the equation \( 16 + 6x = 5(1 - 2x) - 13 \), we'll first simplify the right side of the equation. Starting with the right side: \[ 5(1 - 2x) - 13 \] Distributing the 5: \[ 5 \cdot 1 - 5 \cdot 2x - 13 = 5 - 10x - 13 \] Now combine like terms on the right side: \[ 5 - 13 = -8 \quad \Rightarrow \quad -10x - 8 \] So the equation becomes: \[ 16 + 6x = -10x - 8 \] Next, let's get all the \(x\) terms on one side and constant terms on the other side. We can add \(10x\) to both sides: \[ 16 + 6x + 10x = -8 \] This simplifies to: \[ 16 + 16x = -8 \] Now, subtract 16 from both sides: \[ 16x = -8 - 16 \] This simplifies to: \[ 16x = -24 \] Now, divide by 16: \[ x = \frac{-24}{16} \] This can be simplified: \[ x = \frac{-3}{2} \quad \text{or} \quad x = -1.5 \] So, the solution is: \[ \boxed{-\frac{3}{2}} \quad \text{or} \quad \boxed{-1.5} \]