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To solve the equation 3x + 5 = -2x + 15, we can start by getting all the x terms on one side of the equation and the constant terms on the other side.
Adding 2x to both sides of the equation:
3x + 5 + 2x = -2x + 15 + 2x
Combining like terms:
5x + 5 = 15
To isolate x, we can subtract 5 from both sides of the equation:
5x + 5 - 5 = 15 - 5
5x = 10
Finally, to solve for x, we divide both sides of the equation by 5:
(5x)/5 = 10/5
x = 2
Therefore, the solution to the equation 3x + 5 = -2x + 15 is x = 2.