6(x-7)=12(x+2)

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Solution for 6(x-7)=12(x+2) equation: 


Simplifying
6(x + -7) = 12(x + 2)

Reorder the terms:
6(-7 + x) = 12(x + 2)
(-7 * 6 + x * 6) = 12(x + 2)
(-42 + 6x) = 12(x + 2)

Reorder the terms:
-42 + 6x = 12(2 + x)
-42 + 6x = (2 * 12 + x * 12)
-42 + 6x = (24 + 12x)

Solving
-42 + 6x = 24 + 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.
-42 + 6x + -12x = 24 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-42 + -6x = 24 + 12x + -12x

Combine like terms: 12x + -12x = 0
-42 + -6x = 24 + 0
-42 + -6x = 24

Add '42' to each side of the equation.
-42 + 42 + -6x = 24 + 42

Combine like terms: -42 + 42 = 0
0 + -6x = 24 + 42
-6x = 24 + 42

Combine like terms: 24 + 42 = 66
-6x = 66

Divide each side by '-6'.
x = -11

Simplifying
x = -11

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