2(x+8)=4-(3x+8)

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Solution for 2(x+8)=4-(3x+8) equation: 


Simplifying
2(x + 8) = 4 + -1(3x + 8)

Reorder the terms:
2(8 + x) = 4 + -1(3x + 8)
(8 * 2 + x * 2) = 4 + -1(3x + 8)
(16 + 2x) = 4 + -1(3x + 8)

Reorder the terms:
16 + 2x = 4 + -1(8 + 3x)
16 + 2x = 4 + (8 * -1 + 3x * -1)
16 + 2x = 4 + (-8 + -3x)

Combine like terms: 4 + -8 = -4
16 + 2x = -4 + -3x

Solving
16 + 2x = -4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
16 + 2x + 3x = -4 + -3x + 3x

Combine like terms: 2x + 3x = 5x
16 + 5x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + 5x = -4 + 0
16 + 5x = -4

Add '-16' to each side of the equation.
16 + -16 + 5x = -4 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = -4 + -16
5x = -4 + -16

Combine like terms: -4 + -16 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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