Solve (-x)+(+2x): Combining Like Terms with Opposite Signs

To solve this problem, follow these steps:

• Step 1: Identify and combine the like terms in the expression $(-x) + (+2x)$.
• Step 2: Focus on the coefficients of $x$. The term $-x$ can be seen as $-1x$, and the term $+2x$ has a coefficient of $+2$.
• Step 3: Add the coefficients of these like terms: $-1 + 2 = 1$.

Now, let's simplify:

Starting with the expression:
$(-x) + (+2x) = -1x + 2x$.
Combine the coefficients: $(-1 + 2)x = 1x$.

This simplifies to $x$, as $1x$ is simply $x$.

Therefore, the solution to the problem is $x$.