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

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


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

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

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

Combine like terms: 3x + -4x = -1x
-8 + -1x = 3(4 + -2x) + 8
-8 + -1x = (4 * 3 + -2x * 3) + 8
-8 + -1x = (12 + -6x) + 8

Reorder the terms:
-8 + -1x = 12 + 8 + -6x

Combine like terms: 12 + 8 = 20
-8 + -1x = 20 + -6x

Solving
-8 + -1x = 20 + -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.
-8 + -1x + 6x = 20 + -6x + 6x

Combine like terms: -1x + 6x = 5x
-8 + 5x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + 5x = 20 + 0
-8 + 5x = 20

Add '8' to each side of the equation.
-8 + 8 + 5x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 20 + 8
5x = 20 + 8

Combine like terms: 20 + 8 = 28
5x = 28

Divide each side by '5'.
x = 5.6

Simplifying
x = 5.6

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