Solve for X in the Linear Equation: x+3=-5+2x

To solve the equation $x + 3 = -5 + 2x$, we will proceed with these steps:

• Step 1: Simplify and rearrange the terms.
• Step 2: Isolate the variable $x$.
• Step 3: Solve for $x$.

Let's go through each of these steps.

Step 1: Simplify the equation by moving all terms involving $x$ to one side and constant terms to the other. Subtract $x$ from both sides:
$x + 3 - x = -5 + 2x - x$
This simplifies to:
$3 = -5 + x$

Step 2: Add 5 to both sides to isolate $x$:
$3 + 5 = x$

Step 3: Simplify the result:
$8 = x$

Therefore, the solution to the equation is $x = 8$.