x+4=-4x-1

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


Simplifying
x + 4 = -4x + -1

Reorder the terms:
4 + x = -4x + -1

Reorder the terms:
4 + x = -1 + -4x

Solving
4 + x = -1 + -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.
4 + x + 4x = -1 + -4x + 4x

Combine like terms: x + 4x = 5x
4 + 5x = -1 + -4x + 4x

Combine like terms: -4x + 4x = 0
4 + 5x = -1 + 0
4 + 5x = -1

Add '-4' to each side of the equation.
4 + -4 + 5x = -1 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = -1 + -4
5x = -1 + -4

Combine like terms: -1 + -4 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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