6x-84=3x-9

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Solution for 6x-84=3x-9 equation:


Simplifying
6x + -84 = 3x + -9

Reorder the terms:
-84 + 6x = 3x + -9

Reorder the terms:
-84 + 6x = -9 + 3x

Solving
-84 + 6x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-84 + 6x + -3x = -9 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-84 + 3x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-84 + 3x = -9 + 0
-84 + 3x = -9

Add '84' to each side of the equation.
-84 + 84 + 3x = -9 + 84

Combine like terms: -84 + 84 = 0
0 + 3x = -9 + 84
3x = -9 + 84

Combine like terms: -9 + 84 = 75
3x = 75

Divide each side by '3'.
x = 25

Simplifying
x = 25

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