6x-12=3(x-7)

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Solution for 6x-12=3(x-7) equation:


Simplifying
6x + -12 = 3(x + -7)

Reorder the terms:
-12 + 6x = 3(x + -7)

Reorder the terms:
-12 + 6x = 3(-7 + x)
-12 + 6x = (-7 * 3 + x * 3)
-12 + 6x = (-21 + 3x)

Solving
-12 + 6x = -21 + 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 = -21 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-12 + 3x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 3x = -21 + 0
-12 + 3x = -21

Add '12' to each side of the equation.
-12 + 12 + 3x = -21 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -21 + 12
3x = -21 + 12

Combine like terms: -21 + 12 = -9
3x = -9

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

Simplifying
x = -3

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