3x-12+6x=6(3x-x)+3

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


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

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

Combine like terms: 3x + 6x = 9x
-12 + 9x = 6(3x + -1x) + 3

Combine like terms: 3x + -1x = 2x
-12 + 9x = 6(2x) + 3

Remove parenthesis around (2x)
-12 + 9x = 6 * 2x + 3

Multiply 6 * 2
-12 + 9x = 12x + 3

Reorder the terms:
-12 + 9x = 3 + 12x

Solving
-12 + 9x = 3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-12 + 9x + -12x = 3 + 12x + -12x

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

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

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

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

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

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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