2x+51=6x-9

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Solution for 2x+51=6x-9 equation:


Simplifying
2x + 51 = 6x + -9

Reorder the terms:
51 + 2x = 6x + -9

Reorder the terms:
51 + 2x = -9 + 6x

Solving
51 + 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.
51 + 2x + -6x = -9 + 6x + -6x

Combine like terms: 2x + -6x = -4x
51 + -4x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
51 + -4x = -9 + 0
51 + -4x = -9

Add '-51' to each side of the equation.
51 + -51 + -4x = -9 + -51

Combine like terms: 51 + -51 = 0
0 + -4x = -9 + -51
-4x = -9 + -51

Combine like terms: -9 + -51 = -60
-4x = -60

Divide each side by '-4'.
x = 15

Simplifying
x = 15

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