6x+36=9x-6

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Solution for 6x+36=9x-6 equation:


Simplifying
6x + 36 = 9x + -6

Reorder the terms:
36 + 6x = 9x + -6

Reorder the terms:
36 + 6x = -6 + 9x

Solving
36 + 6x = -6 + 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.
36 + 6x + -9x = -6 + 9x + -9x

Combine like terms: 6x + -9x = -3x
36 + -3x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
36 + -3x = -6 + 0
36 + -3x = -6

Add '-36' to each side of the equation.
36 + -36 + -3x = -6 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = -6 + -36
-3x = -6 + -36

Combine like terms: -6 + -36 = -42
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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