2[2+3(2x-8)]=10x-32

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Solution for 2[2+3(2x-8)]=10x-32 equation: 


Simplifying
2[2 + 3(2x + -8)] = 10x + -32

Reorder the terms:
2[2 + 3(-8 + 2x)] = 10x + -32
2[2 + (-8 * 3 + 2x * 3)] = 10x + -32
2[2 + (-24 + 6x)] = 10x + -32

Combine like terms: 2 + -24 = -22
2[-22 + 6x] = 10x + -32
[-22 * 2 + 6x * 2] = 10x + -32
[-44 + 12x] = 10x + -32

Reorder the terms:
-44 + 12x = -32 + 10x

Solving
-44 + 12x = -32 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-44 + 12x + -10x = -32 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-44 + 2x = -32 + 10x + -10x

Combine like terms: 10x + -10x = 0
-44 + 2x = -32 + 0
-44 + 2x = -32

Add '44' to each side of the equation.
-44 + 44 + 2x = -32 + 44

Combine like terms: -44 + 44 = 0
0 + 2x = -32 + 44
2x = -32 + 44

Combine like terms: -32 + 44 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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