12x-6+2x(8-5)-(3x-6)(7-2)=0

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Solution for 12x-6+2x(8-5)-(3x-6)(7-2)=0 equation:


Simplifying
12x + -6 + 2x(8 + -5) + -1(3x + -6)(7 + -2) = 0

Combine like terms: 8 + -5 = 3
12x + -6 + 2x(3) + -1(3x + -6)(7 + -2) = 0

Reorder the terms for easier multiplication:
12x + -6 + 2 * 3x + -1(3x + -6)(7 + -2) = 0

Multiply 2 * 3
12x + -6 + 6x + -1(3x + -6)(7 + -2) = 0

Reorder the terms:
12x + -6 + 6x + -1(-6 + 3x)(7 + -2) = 0

Combine like terms: 7 + -2 = 5
12x + -6 + 6x + -1(-6 + 3x)(5) = 0

Reorder the terms for easier multiplication:
12x + -6 + 6x + -1 * 5(-6 + 3x) = 0

Multiply -1 * 5
12x + -6 + 6x + -5(-6 + 3x) = 0
12x + -6 + 6x + (-6 * -5 + 3x * -5) = 0
12x + -6 + 6x + (30 + -15x) = 0

Reorder the terms:
-6 + 30 + 12x + 6x + -15x = 0

Combine like terms: -6 + 30 = 24
24 + 12x + 6x + -15x = 0

Combine like terms: 12x + 6x = 18x
24 + 18x + -15x = 0

Combine like terms: 18x + -15x = 3x
24 + 3x = 0

Solving
24 + 3x = 0

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 3x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 3x = 0 + -24
3x = 0 + -24

Combine like terms: 0 + -24 = -24
3x = -24

Divide each side by '3'.
x = -8

Simplifying
x = -8

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