5x-30+3x=2x-8x+12

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Solution for 5x-30+3x=2x-8x+12 equation:


Simplifying
5x + -30 + 3x = 2x + -8x + 12

Reorder the terms:
-30 + 5x + 3x = 2x + -8x + 12

Combine like terms: 5x + 3x = 8x
-30 + 8x = 2x + -8x + 12

Reorder the terms:
-30 + 8x = 12 + 2x + -8x

Combine like terms: 2x + -8x = -6x
-30 + 8x = 12 + -6x

Solving
-30 + 8x = 12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-30 + 8x + 6x = 12 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-30 + 14x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-30 + 14x = 12 + 0
-30 + 14x = 12

Add '30' to each side of the equation.
-30 + 30 + 14x = 12 + 30

Combine like terms: -30 + 30 = 0
0 + 14x = 12 + 30
14x = 12 + 30

Combine like terms: 12 + 30 = 42
14x = 42

Divide each side by '14'.
x = 3

Simplifying
x = 3

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