3(2x+4(x-2))=12

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Solution for 3(2x+4(x-2))=12 equation:


Simplifying
3(2x + 4(x + -2)) = 12

Reorder the terms:
3(2x + 4(-2 + x)) = 12
3(2x + (-2 * 4 + x * 4)) = 12
3(2x + (-8 + 4x)) = 12

Reorder the terms:
3(-8 + 2x + 4x) = 12

Combine like terms: 2x + 4x = 6x
3(-8 + 6x) = 12
(-8 * 3 + 6x * 3) = 12
(-24 + 18x) = 12

Solving
-24 + 18x = 12

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 18x = 12 + 24

Combine like terms: -24 + 24 = 0
0 + 18x = 12 + 24
18x = 12 + 24

Combine like terms: 12 + 24 = 36
18x = 36

Divide each side by '18'.
x = 2

Simplifying
x = 2

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