2(x+2)=-8(x+5)-6

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Solution for 2(x+2)=-8(x+5)-6 equation:


Simplifying
2(x + 2) = -8(x + 5) + -6

Reorder the terms:
2(2 + x) = -8(x + 5) + -6
(2 * 2 + x * 2) = -8(x + 5) + -6
(4 + 2x) = -8(x + 5) + -6

Reorder the terms:
4 + 2x = -8(5 + x) + -6
4 + 2x = (5 * -8 + x * -8) + -6
4 + 2x = (-40 + -8x) + -6

Reorder the terms:
4 + 2x = -40 + -6 + -8x

Combine like terms: -40 + -6 = -46
4 + 2x = -46 + -8x

Solving
4 + 2x = -46 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
4 + 2x + 8x = -46 + -8x + 8x

Combine like terms: 2x + 8x = 10x
4 + 10x = -46 + -8x + 8x

Combine like terms: -8x + 8x = 0
4 + 10x = -46 + 0
4 + 10x = -46

Add '-4' to each side of the equation.
4 + -4 + 10x = -46 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = -46 + -4
10x = -46 + -4

Combine like terms: -46 + -4 = -50
10x = -50

Divide each side by '10'.
x = -5

Simplifying
x = -5

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