To solve the equation \( 2x - 5 = 3 + 5x \), follow these steps:
Move all terms involving \( x \) to one side of the equation and constant terms to the other side. We can do this by subtracting \( 2x \) from both sides:
\[ -5 = 3 + 5x - 2x \]
This simplifies to:
\[ -5 = 3 + 3x \]
Now, isolate \( 3x \) by subtracting 3 from both sides:
\[ -5 - 3 = 3x \]
Therefore:
\[ -8 = 3x \]
Finally, divide both sides by 3 to solve for \( x \):
\[ x = -\frac{8}{3} \]
The solution to the equation \( 2x - 5 = 3 + 5x \) is:
\[ x = -\frac{8}{3} \]
