6x-12=3(5-x)

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Solution for 6x-12=3(5-x) equation:


Simplifying
6x + -12 = 3(5 + -1x)

Reorder the terms:
-12 + 6x = 3(5 + -1x)
-12 + 6x = (5 * 3 + -1x * 3)
-12 + 6x = (15 + -3x)

Solving
-12 + 6x = 15 + -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 = 15 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-12 + 9x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 9x = 15 + 0
-12 + 9x = 15

Add '12' to each side of the equation.
-12 + 12 + 9x = 15 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = 15 + 12
9x = 15 + 12

Combine like terms: 15 + 12 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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