3x+4=12x-22

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Solution for 3x+4=12x-22 equation:


Simplifying
3x + 4 = 12x + -22

Reorder the terms:
4 + 3x = 12x + -22

Reorder the terms:
4 + 3x = -22 + 12x

Solving
4 + 3x = -22 + 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.
4 + 3x + -12x = -22 + 12x + -12x

Combine like terms: 3x + -12x = -9x
4 + -9x = -22 + 12x + -12x

Combine like terms: 12x + -12x = 0
4 + -9x = -22 + 0
4 + -9x = -22

Add '-4' to each side of the equation.
4 + -4 + -9x = -22 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = -22 + -4
-9x = -22 + -4

Combine like terms: -22 + -4 = -26
-9x = -26

Divide each side by '-9'.
x = 2.888888889

Simplifying
x = 2.888888889

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