Solve the equation shown.

3x+5=-2x+15

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To solve the equation 3x + 5 = -2x + 15, we first need to isolate the variable on one side of the equation.

Let's start by adding 2x to both sides of the equation:

3x + 5 + 2x = -2x + 15 + 2x

This simplifies to:

5x + 5 = 15

Next, let's subtract 5 from both sides of the equation:

5x + 5 - 5 = 15 - 5

This simplifies to:

5x = 10

To solve for x, we need to divide both sides of the equation by 5:

(5x)/5 = 10/5

This simplifies to:

x = 2

Therefore, the solution to the equation 3x + 5 = -2x + 15 is x = 2.