(x+2)+4=-5(x-1)-2

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Solution for (x+2)+4=-5(x-1)-2 equation:


Simplifying
(x + 2) + 4 = -5(x + -1) + -2

Reorder the terms:
(2 + x) + 4 = -5(x + -1) + -2

Remove parenthesis around (2 + x)
2 + x + 4 = -5(x + -1) + -2

Reorder the terms:
2 + 4 + x = -5(x + -1) + -2

Combine like terms: 2 + 4 = 6
6 + x = -5(x + -1) + -2

Reorder the terms:
6 + x = -5(-1 + x) + -2
6 + x = (-1 * -5 + x * -5) + -2
6 + x = (5 + -5x) + -2

Reorder the terms:
6 + x = 5 + -2 + -5x

Combine like terms: 5 + -2 = 3
6 + x = 3 + -5x

Solving
6 + x = 3 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + x + 5x = 3 + -5x + 5x

Combine like terms: x + 5x = 6x
6 + 6x = 3 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 6x = 3 + 0
6 + 6x = 3

Add '-6' to each side of the equation.
6 + -6 + 6x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 3 + -6
6x = 3 + -6

Combine like terms: 3 + -6 = -3
6x = -3

Divide each side by '6'.
x = -0.5

Simplifying
x = -0.5

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