8(2-x)+4x=-2(x+5)

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Solution for 8(2-x)+4x=-2(x+5) equation: 


Simplifying
8(2 + -1x) + 4x = -2(x + 5)
(2 * 8 + -1x * 8) + 4x = -2(x + 5)
(16 + -8x) + 4x = -2(x + 5)

Combine like terms: -8x + 4x = -4x
16 + -4x = -2(x + 5)

Reorder the terms:
16 + -4x = -2(5 + x)
16 + -4x = (5 * -2 + x * -2)
16 + -4x = (-10 + -2x)

Solving
16 + -4x = -10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
16 + -4x + 2x = -10 + -2x + 2x

Combine like terms: -4x + 2x = -2x
16 + -2x = -10 + -2x + 2x

Combine like terms: -2x + 2x = 0
16 + -2x = -10 + 0
16 + -2x = -10

Add '-16' to each side of the equation.
16 + -16 + -2x = -10 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -10 + -16
-2x = -10 + -16

Combine like terms: -10 + -16 = -26
-2x = -26

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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