12(2x-4)+3(2x+8)=66

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Solution for 12(2x-4)+3(2x+8)=66 equation: 


Simplifying
12(2x + -4) + 3(2x + 8) = 66

Reorder the terms:
12(-4 + 2x) + 3(2x + 8) = 66
(-4 * 12 + 2x * 12) + 3(2x + 8) = 66
(-48 + 24x) + 3(2x + 8) = 66

Reorder the terms:
-48 + 24x + 3(8 + 2x) = 66
-48 + 24x + (8 * 3 + 2x * 3) = 66
-48 + 24x + (24 + 6x) = 66

Reorder the terms:
-48 + 24 + 24x + 6x = 66

Combine like terms: -48 + 24 = -24
-24 + 24x + 6x = 66

Combine like terms: 24x + 6x = 30x
-24 + 30x = 66

Solving
-24 + 30x = 66

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 + 30x = 66 + 24

Combine like terms: -24 + 24 = 0
0 + 30x = 66 + 24
30x = 66 + 24

Combine like terms: 66 + 24 = 90
30x = 90

Divide each side by '30'.
x = 3

Simplifying
x = 3

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