x-6=4x+12

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


Simplifying
x + -6 = 4x + 12

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

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

Solving
-6 + x = 12 + 4x

Solving for variable 'x'.

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

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

Combine like terms: x + -4x = -3x
-6 + -3x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -3x = 12 + 0
-6 + -3x = 12

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

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

Combine like terms: 12 + 6 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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