5(4+4x)-2(1-6x)=-78

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Solution for 5(4+4x)-2(1-6x)=-78 equation: 


Simplifying
5(4 + 4x) + -2(1 + -6x) = -78
(4 * 5 + 4x * 5) + -2(1 + -6x) = -78
(20 + 20x) + -2(1 + -6x) = -78
20 + 20x + (1 * -2 + -6x * -2) = -78
20 + 20x + (-2 + 12x) = -78

Reorder the terms:
20 + -2 + 20x + 12x = -78

Combine like terms: 20 + -2 = 18
18 + 20x + 12x = -78

Combine like terms: 20x + 12x = 32x
18 + 32x = -78

Solving
18 + 32x = -78

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 32x = -78 + -18

Combine like terms: 18 + -18 = 0
0 + 32x = -78 + -18
32x = -78 + -18

Combine like terms: -78 + -18 = -96
32x = -96

Divide each side by '32'.
x = -3

Simplifying
x = -3

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