8-3х=2(5+х)=

To solve the equation \( 8 - 3x = 2(5 + x) \), we will first distribute the \( 2 \) on the right side:

\[ 2(5 + x) = 10 + 2x \]

Now, we can rewrite the equation:

\[ 8 - 3x = 10 + 2x \]

Next, let's get all terms involving \( x \) on one side and constant terms on the other side. We'll start by adding \( 3x \) to both sides:

\[ 8 = 10 + 2x + 3x \]

This simplifies to:

\[ 8 = 10 + 5x \]

Now, we will subtract \( 10 \) from both sides:

\[ 8 - 10 = 5x \]

This simplifies to:

\[ -2 = 5x \]

Now, divide by \( 5 \):

\[ x = -\frac{2}{5} \]

Thus, the solution to the equation \( 8 - 3x = 2(5 + x) \) is:

\[ x = -\frac{2}{5} \]