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

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


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

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

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

Reorder the terms:
2 + -1x = 2x + 3(-8 + x)
2 + -1x = 2x + (-8 * 3 + x * 3)
2 + -1x = 2x + (-24 + 3x)

Reorder the terms:
2 + -1x = -24 + 2x + 3x

Combine like terms: 2x + 3x = 5x
2 + -1x = -24 + 5x

Solving
2 + -1x = -24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + -1x + -5x = -24 + 5x + -5x

Combine like terms: -1x + -5x = -6x
2 + -6x = -24 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -6x = -24 + 0
2 + -6x = -24

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

Combine like terms: 2 + -2 = 0
0 + -6x = -24 + -2
-6x = -24 + -2

Combine like terms: -24 + -2 = -26
-6x = -26

Divide each side by '-6'.
x = 4.333333333

Simplifying
x = 4.333333333

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