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

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


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

Reorder the terms:
3(4 + 2x) + -2 = 3(2 + -4x) + 12
(4 * 3 + 2x * 3) + -2 = 3(2 + -4x) + 12
(12 + 6x) + -2 = 3(2 + -4x) + 12

Reorder the terms:
12 + -2 + 6x = 3(2 + -4x) + 12

Combine like terms: 12 + -2 = 10
10 + 6x = 3(2 + -4x) + 12
10 + 6x = (2 * 3 + -4x * 3) + 12
10 + 6x = (6 + -12x) + 12

Reorder the terms:
10 + 6x = 6 + 12 + -12x

Combine like terms: 6 + 12 = 18
10 + 6x = 18 + -12x

Solving
10 + 6x = 18 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
10 + 6x + 12x = 18 + -12x + 12x

Combine like terms: 6x + 12x = 18x
10 + 18x = 18 + -12x + 12x

Combine like terms: -12x + 12x = 0
10 + 18x = 18 + 0
10 + 18x = 18

Add '-10' to each side of the equation.
10 + -10 + 18x = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 18x = 18 + -10
18x = 18 + -10

Combine like terms: 18 + -10 = 8
18x = 8

Divide each side by '18'.
x = 0.4444444444

Simplifying
x = 0.4444444444

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