6x-12=3x+45

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Solution for 6x-12=3x+45 equation:


Simplifying
6x + -12 = 3x + 45

Reorder the terms:
-12 + 6x = 3x + 45

Reorder the terms:
-12 + 6x = 45 + 3x

Solving
-12 + 6x = 45 + 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.
-12 + 6x + -3x = 45 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-12 + 3x = 45 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 3x = 45 + 0
-12 + 3x = 45

Add '12' to each side of the equation.
-12 + 12 + 3x = 45 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 45 + 12
3x = 45 + 12

Combine like terms: 45 + 12 = 57
3x = 57

Divide each side by '3'.
x = 19

Simplifying
x = 19

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