12(3x+3)-6(2x-3)=4x-26

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Solution for 12(3x+3)-6(2x-3)=4x-26 equation:


Simplifying
12(3x + 3) + -6(2x + -3) = 4x + -26

Reorder the terms:
12(3 + 3x) + -6(2x + -3) = 4x + -26
(3 * 12 + 3x * 12) + -6(2x + -3) = 4x + -26
(36 + 36x) + -6(2x + -3) = 4x + -26

Reorder the terms:
36 + 36x + -6(-3 + 2x) = 4x + -26
36 + 36x + (-3 * -6 + 2x * -6) = 4x + -26
36 + 36x + (18 + -12x) = 4x + -26

Reorder the terms:
36 + 18 + 36x + -12x = 4x + -26

Combine like terms: 36 + 18 = 54
54 + 36x + -12x = 4x + -26

Combine like terms: 36x + -12x = 24x
54 + 24x = 4x + -26

Reorder the terms:
54 + 24x = -26 + 4x

Solving
54 + 24x = -26 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
54 + 24x + -4x = -26 + 4x + -4x

Combine like terms: 24x + -4x = 20x
54 + 20x = -26 + 4x + -4x

Combine like terms: 4x + -4x = 0
54 + 20x = -26 + 0
54 + 20x = -26

Add '-54' to each side of the equation.
54 + -54 + 20x = -26 + -54

Combine like terms: 54 + -54 = 0
0 + 20x = -26 + -54
20x = -26 + -54

Combine like terms: -26 + -54 = -80
20x = -80

Divide each side by '20'.
x = -4

Simplifying
x = -4

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