If $x - 2x + 3x = 100$, what is the value of $x$?
To solve for $x$, I need to simplify the equation and isolate $x$ on one side. I can start by combining the like terms on the left side: $x - 2x + 3x = 100$ is the same as $2x = 100$. Then I can divide both sides by 2 to get $x = 50$. I can check my answer by plugging it back into the original equation and verifying that it works: $50 - 2 \times 50 + 3 \times 50 = 100$, which is true. So the value of $x$ is 50.

