2x+5=3x-9

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


Simplifying
2x + 5 = 3x + -9

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

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

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

Combine like terms: 2x + -3x = -1x
5 + -1x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -1x = -9 + 0
5 + -1x = -9

Add '-5' to each side of the equation.
5 + -5 + -1x = -9 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -9 + -5
-1x = -9 + -5

Combine like terms: -9 + -5 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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