(12x+5)=(13x-5)

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Solution for (12x+5)=(13x-5) equation:


Simplifying
(12x + 5) = (13x + -5)

Reorder the terms:
(5 + 12x) = (13x + -5)

Remove parenthesis around (5 + 12x)
5 + 12x = (13x + -5)

Reorder the terms:
5 + 12x = (-5 + 13x)

Remove parenthesis around (-5 + 13x)
5 + 12x = -5 + 13x

Solving
5 + 12x = -5 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
5 + 12x + -13x = -5 + 13x + -13x

Combine like terms: 12x + -13x = -1x
5 + -1x = -5 + 13x + -13x

Combine like terms: 13x + -13x = 0
5 + -1x = -5 + 0
5 + -1x = -5

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

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

Combine like terms: -5 + -5 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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