5x+1=-1x-5

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Solution for 5x+1=-1x-5 equation:


Simplifying
5x + 1 = -1x + -5

Reorder the terms:
1 + 5x = -1x + -5

Reorder the terms:
1 + 5x = -5 + -1x

Solving
1 + 5x = -5 + -1x

Solving for variable 'x'.

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

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

Combine like terms: 5x + x = 6x
1 + 6x = -5 + -1x + x

Combine like terms: -1x + x = 0
1 + 6x = -5 + 0
1 + 6x = -5

Add '-1' to each side of the equation.
1 + -1 + 6x = -5 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = -5 + -1
6x = -5 + -1

Combine like terms: -5 + -1 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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