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

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


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

Reorder the terms:
3(8 + -2x) = 4(x + 2) + -4
(8 * 3 + -2x * 3) = 4(x + 2) + -4
(24 + -6x) = 4(x + 2) + -4

Reorder the terms:
24 + -6x = 4(2 + x) + -4
24 + -6x = (2 * 4 + x * 4) + -4
24 + -6x = (8 + 4x) + -4

Reorder the terms:
24 + -6x = 8 + -4 + 4x

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

Solving
24 + -6x = 4 + 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.
24 + -6x + -4x = 4 + 4x + -4x

Combine like terms: -6x + -4x = -10x
24 + -10x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + -10x = 4 + 0
24 + -10x = 4

Add '-24' to each side of the equation.
24 + -24 + -10x = 4 + -24

Combine like terms: 24 + -24 = 0
0 + -10x = 4 + -24
-10x = 4 + -24

Combine like terms: 4 + -24 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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