Solve the Linear Equation: 800-2x-x=803 Step by Step

$800-2x-x=803$

To solve this problem, we'll follow these steps:

• Step 1: Combine like terms on the left side of the equation.
• Step 2: Isolate the variable $x$ on one side of the equation.
• Step 3: Solve for $x$ and simplify the result.

Now, let's work through each step:
Step 1: The left side of the equation is $800 - 2x - x$. Combine the terms with $x$:
This becomes $800 - 3x = 803$.

Step 2: Subtract 800 from both sides to isolate the term with $x$:
$800 - 3x - 800 = 803 - 800$
This simplifies to $-3x = 3$.

Step 3: Divide both sides by -3 to solve for $x$:
$x = \frac{3}{-3}$
Thus, $x = -1$.

Therefore, the solution to the problem is $x = -1$.