(x+1)+5(x-1)=0

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Solution for (x+1)+5(x-1)=0 equation:


Simplifying
(x + 1) + 5(x + -1) = 0

Reorder the terms:
(1 + x) + 5(x + -1) = 0

Remove parenthesis around (1 + x)
1 + x + 5(x + -1) = 0

Reorder the terms:
1 + x + 5(-1 + x) = 0
1 + x + (-1 * 5 + x * 5) = 0
1 + x + (-5 + 5x) = 0

Reorder the terms:
1 + -5 + x + 5x = 0

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

Combine like terms: x + 5x = 6x
-4 + 6x = 0

Solving
-4 + 6x = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 6x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 0 + 4
6x = 0 + 4

Combine like terms: 0 + 4 = 4
6x = 4

Divide each side by '6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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