3x+14=9x-22

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Solution for 3x+14=9x-22 equation:


Simplifying
3x + 14 = 9x + -22

Reorder the terms:
14 + 3x = 9x + -22

Reorder the terms:
14 + 3x = -22 + 9x

Solving
14 + 3x = -22 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
14 + 3x + -9x = -22 + 9x + -9x

Combine like terms: 3x + -9x = -6x
14 + -6x = -22 + 9x + -9x

Combine like terms: 9x + -9x = 0
14 + -6x = -22 + 0
14 + -6x = -22

Add '-14' to each side of the equation.
14 + -14 + -6x = -22 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = -22 + -14
-6x = -22 + -14

Combine like terms: -22 + -14 = -36
-6x = -36

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

Simplifying
x = 6

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