8(x+2)=-2(3x-22)

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Solution for 8(x+2)=-2(3x-22) equation: 


Simplifying
8(x + 2) = -2(3x + -22)

Reorder the terms:
8(2 + x) = -2(3x + -22)
(2 * 8 + x * 8) = -2(3x + -22)
(16 + 8x) = -2(3x + -22)

Reorder the terms:
16 + 8x = -2(-22 + 3x)
16 + 8x = (-22 * -2 + 3x * -2)
16 + 8x = (44 + -6x)

Solving
16 + 8x = 44 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
16 + 8x + 6x = 44 + -6x + 6x

Combine like terms: 8x + 6x = 14x
16 + 14x = 44 + -6x + 6x

Combine like terms: -6x + 6x = 0
16 + 14x = 44 + 0
16 + 14x = 44

Add '-16' to each side of the equation.
16 + -16 + 14x = 44 + -16

Combine like terms: 16 + -16 = 0
0 + 14x = 44 + -16
14x = 44 + -16

Combine like terms: 44 + -16 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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