4x-6=12x-30

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Solution for 4x-6=12x-30 equation:


Simplifying
4x + -6 = 12x + -30

Reorder the terms:
-6 + 4x = 12x + -30

Reorder the terms:
-6 + 4x = -30 + 12x

Solving
-6 + 4x = -30 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-6 + 4x + -12x = -30 + 12x + -12x

Combine like terms: 4x + -12x = -8x
-6 + -8x = -30 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + -8x = -30 + 0
-6 + -8x = -30

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

Combine like terms: -6 + 6 = 0
0 + -8x = -30 + 6
-8x = -30 + 6

Combine like terms: -30 + 6 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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