3(4x-6)+4(2x+12)=-30

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Solution for 3(4x-6)+4(2x+12)=-30 equation: 


Simplifying
3(4x + -6) + 4(2x + 12) = -30

Reorder the terms:
3(-6 + 4x) + 4(2x + 12) = -30
(-6 * 3 + 4x * 3) + 4(2x + 12) = -30
(-18 + 12x) + 4(2x + 12) = -30

Reorder the terms:
-18 + 12x + 4(12 + 2x) = -30
-18 + 12x + (12 * 4 + 2x * 4) = -30
-18 + 12x + (48 + 8x) = -30

Reorder the terms:
-18 + 48 + 12x + 8x = -30

Combine like terms: -18 + 48 = 30
30 + 12x + 8x = -30

Combine like terms: 12x + 8x = 20x
30 + 20x = -30

Solving
30 + 20x = -30

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 20x = -30 + -30

Combine like terms: 30 + -30 = 0
0 + 20x = -30 + -30
20x = -30 + -30

Combine like terms: -30 + -30 = -60
20x = -60

Divide each side by '20'.
x = -3

Simplifying
x = -3

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