12x-2=5x-30

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Solution for 12x-2=5x-30 equation:


Simplifying
12x + -2 = 5x + -30

Reorder the terms:
-2 + 12x = 5x + -30

Reorder the terms:
-2 + 12x = -30 + 5x

Solving
-2 + 12x = -30 + 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.
-2 + 12x + -5x = -30 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-2 + 7x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 7x = -30 + 0
-2 + 7x = -30

Add '2' to each side of the equation.
-2 + 2 + 7x = -30 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = -30 + 2
7x = -30 + 2

Combine like terms: -30 + 2 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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