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:

\[ \boxed{-\frac{3}{2}} \quad \text{or} \quad \boxed{-1.5} \]