2[4+3(2x-8)]=2x+20

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Solution for 2[4+3(2x-8)]=2x+20 equation: 


Simplifying
2[4 + 3(2x + -8)] = 2x + 20

Reorder the terms:
2[4 + 3(-8 + 2x)] = 2x + 20
2[4 + (-8 * 3 + 2x * 3)] = 2x + 20
2[4 + (-24 + 6x)] = 2x + 20

Combine like terms: 4 + -24 = -20
2[-20 + 6x] = 2x + 20
[-20 * 2 + 6x * 2] = 2x + 20
[-40 + 12x] = 2x + 20

Reorder the terms:
-40 + 12x = 20 + 2x

Solving
-40 + 12x = 20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-40 + 12x + -2x = 20 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-40 + 10x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
-40 + 10x = 20 + 0
-40 + 10x = 20

Add '40' to each side of the equation.
-40 + 40 + 10x = 20 + 40

Combine like terms: -40 + 40 = 0
0 + 10x = 20 + 40
10x = 20 + 40

Combine like terms: 20 + 40 = 60
10x = 60

Divide each side by '10'.
x = 6

Simplifying
x = 6

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