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

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


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

Reorder the terms:
2(3 + x) = -4(x + -4) + 8
(3 * 2 + x * 2) = -4(x + -4) + 8
(6 + 2x) = -4(x + -4) + 8

Reorder the terms:
6 + 2x = -4(-4 + x) + 8
6 + 2x = (-4 * -4 + x * -4) + 8
6 + 2x = (16 + -4x) + 8

Reorder the terms:
6 + 2x = 16 + 8 + -4x

Combine like terms: 16 + 8 = 24
6 + 2x = 24 + -4x

Solving
6 + 2x = 24 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 2x + 4x = 24 + -4x + 4x

Combine like terms: 2x + 4x = 6x
6 + 6x = 24 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 6x = 24 + 0
6 + 6x = 24

Add '-6' to each side of the equation.
6 + -6 + 6x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 24 + -6
6x = 24 + -6

Combine like terms: 24 + -6 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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