4(x+1)=4-4(4x+1)

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


Simplifying
4(x + 1) = 4 + -4(4x + 1)

Reorder the terms:
4(1 + x) = 4 + -4(4x + 1)
(1 * 4 + x * 4) = 4 + -4(4x + 1)
(4 + 4x) = 4 + -4(4x + 1)

Reorder the terms:
4 + 4x = 4 + -4(1 + 4x)
4 + 4x = 4 + (1 * -4 + 4x * -4)
4 + 4x = 4 + (-4 + -16x)

Combine like terms: 4 + -4 = 0
4 + 4x = 0 + -16x
4 + 4x = -16x

Solving
4 + 4x = -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
4 + 4x + 16x = -16x + 16x

Combine like terms: 4x + 16x = 20x
4 + 20x = -16x + 16x

Combine like terms: -16x + 16x = 0
4 + 20x = 0

Add '-4' to each side of the equation.
4 + -4 + 20x = 0 + -4

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

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

Divide each side by '20'.
x = -0.2

Simplifying
x = -0.2

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