12(3x+3)-6(2x+5)=4x-34

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Solution for 12(3x+3)-6(2x+5)=4x-34 equation:


Simplifying
12(3x + 3) + -6(2x + 5) = 4x + -34

Reorder the terms:
12(3 + 3x) + -6(2x + 5) = 4x + -34
(3 * 12 + 3x * 12) + -6(2x + 5) = 4x + -34
(36 + 36x) + -6(2x + 5) = 4x + -34

Reorder the terms:
36 + 36x + -6(5 + 2x) = 4x + -34
36 + 36x + (5 * -6 + 2x * -6) = 4x + -34
36 + 36x + (-30 + -12x) = 4x + -34

Reorder the terms:
36 + -30 + 36x + -12x = 4x + -34

Combine like terms: 36 + -30 = 6
6 + 36x + -12x = 4x + -34

Combine like terms: 36x + -12x = 24x
6 + 24x = 4x + -34

Reorder the terms:
6 + 24x = -34 + 4x

Solving
6 + 24x = -34 + 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.
6 + 24x + -4x = -34 + 4x + -4x

Combine like terms: 24x + -4x = 20x
6 + 20x = -34 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 20x = -34 + 0
6 + 20x = -34

Add '-6' to each side of the equation.
6 + -6 + 20x = -34 + -6

Combine like terms: 6 + -6 = 0
0 + 20x = -34 + -6
20x = -34 + -6

Combine like terms: -34 + -6 = -40
20x = -40

Divide each side by '20'.
x = -2

Simplifying
x = -2

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