To solve the equation \( 8 - 3x = 2(5 + x) \), follow these steps:
Expand the right side: \[ 8 - 3x = 10 + 2x \]
Rearrange the equation to get all terms involving \( x \) on one side and constant terms on the other side: \[ 8 - 10 = 3x + 2x \] \[ -2 = 5x \]
Now, solve for \( x \) by dividing both sides by 5: \[ x = -\frac{2}{5} \]
So the solution is: \[ x = -\frac{2}{5} \]