To solve the equation \(3.7x - 2 = -2x + 3.13\), follow these steps:
Add \(2x\) to both sides to get all \(x\) terms on one side:
\(3.7x + 2x - 2 = 3.13\)
This simplifies to:
\(5.7x - 2 = 3.13\)
Add 2 to both sides to isolate the term with \(x\):
\(5.7x = 3.13 + 2\)
This simplifies to:
\(5.7x = 5.13\)
Divide both sides by \(5.7\) to solve for \(x\):
\(x = \frac{5.13}{5.7}\)
Now, calculating that:
\(x \approx 0.9\)
So, the solution to the equation \(3.7x - 2 = -2x + 3.13\) is:
\[ x \approx 0.9 \]