4(2x+4)=3(1-4x)-31

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Solution for 4(2x+4)=3(1-4x)-31 equation:


Simplifying
4(2x + 4) = 3(1 + -4x) + -31

Reorder the terms:
4(4 + 2x) = 3(1 + -4x) + -31
(4 * 4 + 2x * 4) = 3(1 + -4x) + -31
(16 + 8x) = 3(1 + -4x) + -31
16 + 8x = (1 * 3 + -4x * 3) + -31
16 + 8x = (3 + -12x) + -31

Reorder the terms:
16 + 8x = 3 + -31 + -12x

Combine like terms: 3 + -31 = -28
16 + 8x = -28 + -12x

Solving
16 + 8x = -28 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
16 + 8x + 12x = -28 + -12x + 12x

Combine like terms: 8x + 12x = 20x
16 + 20x = -28 + -12x + 12x

Combine like terms: -12x + 12x = 0
16 + 20x = -28 + 0
16 + 20x = -28

Add '-16' to each side of the equation.
16 + -16 + 20x = -28 + -16

Combine like terms: 16 + -16 = 0
0 + 20x = -28 + -16
20x = -28 + -16

Combine like terms: -28 + -16 = -44
20x = -44

Divide each side by '20'.
x = -2.2

Simplifying
x = -2.2

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