2x+6=6x-9

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Solution for 2x+6=6x-9 equation:


Simplifying
2x + 6 = 6x + -9

Reorder the terms:
6 + 2x = 6x + -9

Reorder the terms:
6 + 2x = -9 + 6x

Solving
6 + 2x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 2x + -6x = -9 + 6x + -6x

Combine like terms: 2x + -6x = -4x
6 + -4x = -9 + 6x + -6x

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

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

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

Combine like terms: -9 + -6 = -15
-4x = -15

Divide each side by '-4'.
x = 3.75

Simplifying
x = 3.75

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