Solve for X in 0.7x + 0.5 = -0.3x: Linear Equation Solution

To solve the problem, let's go through the steps:

First, we start with the given equation:

$0.7x + 0.5 = -0.3x$

To isolate $x$, we will first combine all the $x$-terms on one side. We do this by adding $0.3x$ to both sides of the equation:

$0.7x + 0.3x + 0.5 = 0$

This simplifies to:

$1x + 0.5 = 0$ or $x + 0.5 = 0$

Next, we isolate $x$ by subtracting $0.5$ from both sides:

$x = -0.5$

Therefore, the solution to the problem is $x = -0.5$.