5x-12=2x-6

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


Simplifying
5x + -12 = 2x + -6

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

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

Solving
-12 + 5x = -6 + 2x

Solving for variable 'x'.

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

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

Combine like terms: 5x + -2x = 3x
-12 + 3x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 3x = -6 + 0
-12 + 3x = -6

Add '12' to each side of the equation.
-12 + 12 + 3x = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -6 + 12
3x = -6 + 12

Combine like terms: -6 + 12 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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