12(x-7)=9(2x-8)-2(3x+6)

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Solution for 12(x-7)=9(2x-8)-2(3x+6) equation:


Simplifying
12(x + -7) = 9(2x + -8) + -2(3x + 6)

Reorder the terms:
12(-7 + x) = 9(2x + -8) + -2(3x + 6)
(-7 * 12 + x * 12) = 9(2x + -8) + -2(3x + 6)
(-84 + 12x) = 9(2x + -8) + -2(3x + 6)

Reorder the terms:
-84 + 12x = 9(-8 + 2x) + -2(3x + 6)
-84 + 12x = (-8 * 9 + 2x * 9) + -2(3x + 6)
-84 + 12x = (-72 + 18x) + -2(3x + 6)

Reorder the terms:
-84 + 12x = -72 + 18x + -2(6 + 3x)
-84 + 12x = -72 + 18x + (6 * -2 + 3x * -2)
-84 + 12x = -72 + 18x + (-12 + -6x)

Reorder the terms:
-84 + 12x = -72 + -12 + 18x + -6x

Combine like terms: -72 + -12 = -84
-84 + 12x = -84 + 18x + -6x

Combine like terms: 18x + -6x = 12x
-84 + 12x = -84 + 12x

Add '84' to each side of the equation.
-84 + 84 + 12x = -84 + 84 + 12x

Combine like terms: -84 + 84 = 0
0 + 12x = -84 + 84 + 12x
12x = -84 + 84 + 12x

Combine like terms: -84 + 84 = 0
12x = 0 + 12x
12x = 12x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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