6x-57=3x-12

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Solution for 6x-57=3x-12 equation:


Simplifying
6x + -57 = 3x + -12

Reorder the terms:
-57 + 6x = 3x + -12

Reorder the terms:
-57 + 6x = -12 + 3x

Solving
-57 + 6x = -12 + 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.
-57 + 6x + -3x = -12 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-57 + 3x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-57 + 3x = -12 + 0
-57 + 3x = -12

Add '57' to each side of the equation.
-57 + 57 + 3x = -12 + 57

Combine like terms: -57 + 57 = 0
0 + 3x = -12 + 57
3x = -12 + 57

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

Divide each side by '3'.
x = 15

Simplifying
x = 15

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