6x-45=3x-6

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Solution for 6x-45=3x-6 equation:


Simplifying
6x + -45 = 3x + -6

Reorder the terms:
-45 + 6x = 3x + -6

Reorder the terms:
-45 + 6x = -6 + 3x

Solving
-45 + 6x = -6 + 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.
-45 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-45 + 3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-45 + 3x = -6 + 0
-45 + 3x = -6

Add '45' to each side of the equation.
-45 + 45 + 3x = -6 + 45

Combine like terms: -45 + 45 = 0
0 + 3x = -6 + 45
3x = -6 + 45

Combine like terms: -6 + 45 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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