6x+4=12x-9

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Solution for 6x+4=12x-9 equation:


Simplifying
6x + 4 = 12x + -9

Reorder the terms:
4 + 6x = 12x + -9

Reorder the terms:
4 + 6x = -9 + 12x

Solving
4 + 6x = -9 + 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 + 6x + -12x = -9 + 12x + -12x

Combine like terms: 6x + -12x = -6x
4 + -6x = -9 + 12x + -12x

Combine like terms: 12x + -12x = 0
4 + -6x = -9 + 0
4 + -6x = -9

Add '-4' to each side of the equation.
4 + -4 + -6x = -9 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = -9 + -4
-6x = -9 + -4

Combine like terms: -9 + -4 = -13
-6x = -13

Divide each side by '-6'.
x = 2.166666667

Simplifying
x = 2.166666667

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