2x-5+3x+9=3x-2

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Solution for 2x-5+3x+9=3x-2 equation:


Simplifying
2x + -5 + 3x + 9 = 3x + -2

Reorder the terms:
-5 + 9 + 2x + 3x = 3x + -2

Combine like terms: -5 + 9 = 4
4 + 2x + 3x = 3x + -2

Combine like terms: 2x + 3x = 5x
4 + 5x = 3x + -2

Reorder the terms:
4 + 5x = -2 + 3x

Solving
4 + 5x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 5x + -3x = -2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
4 + 2x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 2x = -2 + 0
4 + 2x = -2

Add '-4' to each side of the equation.
4 + -4 + 2x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = -2 + -4
2x = -2 + -4

Combine like terms: -2 + -4 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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