6x-12=5x+2

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Solution for 6x-12=5x+2 equation:


Simplifying
6x + -12 = 5x + 2

Reorder the terms:
-12 + 6x = 5x + 2

Reorder the terms:
-12 + 6x = 2 + 5x

Solving
-12 + 6x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 6x + -5x = 2 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-12 + 1x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 1x = 2 + 0
-12 + 1x = 2

Add '12' to each side of the equation.
-12 + 12 + 1x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 2 + 12
1x = 2 + 12

Combine like terms: 2 + 12 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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