6x-9=4x-51

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Solution for 6x-9=4x-51 equation:


Simplifying
6x + -9 = 4x + -51

Reorder the terms:
-9 + 6x = 4x + -51

Reorder the terms:
-9 + 6x = -51 + 4x

Solving
-9 + 6x = -51 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-9 + 6x + -4x = -51 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-9 + 2x = -51 + 0
-9 + 2x = -51

Add '9' to each side of the equation.
-9 + 9 + 2x = -51 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = -51 + 9
2x = -51 + 9

Combine like terms: -51 + 9 = -42
2x = -42

Divide each side by '2'.
x = -21

Simplifying
x = -21

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