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

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


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

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

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

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

Combine like terms: 8 + -4 = 4
2 + -3x = 4 + -6x

Solving
2 + -3x = 4 + -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.
2 + -3x + 6x = 4 + -6x + 6x

Combine like terms: -3x + 6x = 3x
2 + 3x = 4 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 3x = 4 + 0
2 + 3x = 4

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

Combine like terms: 2 + -2 = 0
0 + 3x = 4 + -2
3x = 4 + -2

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

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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