12x+5=14x-5

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Solution for 12x+5=14x-5 equation:


Simplifying
12x + 5 = 14x + -5

Reorder the terms:
5 + 12x = 14x + -5

Reorder the terms:
5 + 12x = -5 + 14x

Solving
5 + 12x = -5 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
5 + 12x + -14x = -5 + 14x + -14x

Combine like terms: 12x + -14x = -2x
5 + -2x = -5 + 14x + -14x

Combine like terms: 14x + -14x = 0
5 + -2x = -5 + 0
5 + -2x = -5

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

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

Combine like terms: -5 + -5 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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