3x+6=4x-28+12

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Solution for 3x+6=4x-28+12 equation:


Simplifying
3x + 6 = 4x + -28 + 12

Reorder the terms:
6 + 3x = 4x + -28 + 12

Reorder the terms:
6 + 3x = -28 + 12 + 4x

Combine like terms: -28 + 12 = -16
6 + 3x = -16 + 4x

Solving
6 + 3x = -16 + 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 + 3x + -4x = -16 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = -16 + 0
6 + -1x = -16

Add '-6' to each side of the equation.
6 + -6 + -1x = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -16 + -6
-1x = -16 + -6

Combine like terms: -16 + -6 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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