(2x-9)+14=3x-8

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Solution for (2x-9)+14=3x-8 equation:


Simplifying
(2x + -9) + 14 = 3x + -8

Reorder the terms:
(-9 + 2x) + 14 = 3x + -8

Remove parenthesis around (-9 + 2x)
-9 + 2x + 14 = 3x + -8

Reorder the terms:
-9 + 14 + 2x = 3x + -8

Combine like terms: -9 + 14 = 5
5 + 2x = 3x + -8

Reorder the terms:
5 + 2x = -8 + 3x

Solving
5 + 2x = -8 + 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 = -8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
5 + -1x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -1x = -8 + 0
5 + -1x = -8

Add '-5' to each side of the equation.
5 + -5 + -1x = -8 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -8 + -5
-1x = -8 + -5

Combine like terms: -8 + -5 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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