3x-5+2x+3=13

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Solution for 3x-5+2x+3=13 equation:


Simplifying
3x + -5 + 2x + 3 = 13

Reorder the terms:
-5 + 3 + 3x + 2x = 13

Combine like terms: -5 + 3 = -2
-2 + 3x + 2x = 13

Combine like terms: 3x + 2x = 5x
-2 + 5x = 13

Solving
-2 + 5x = 13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + 5x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 13 + 2
5x = 13 + 2

Combine like terms: 13 + 2 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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