3(2x+4)=2(24-6x)

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Solution for 3(2x+4)=2(24-6x) equation:


Simplifying
3(2x + 4) = 2(24 + -6x)

Reorder the terms:
3(4 + 2x) = 2(24 + -6x)
(4 * 3 + 2x * 3) = 2(24 + -6x)
(12 + 6x) = 2(24 + -6x)
12 + 6x = (24 * 2 + -6x * 2)
12 + 6x = (48 + -12x)

Solving
12 + 6x = 48 + -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.
12 + 6x + 12x = 48 + -12x + 12x

Combine like terms: 6x + 12x = 18x
12 + 18x = 48 + -12x + 12x

Combine like terms: -12x + 12x = 0
12 + 18x = 48 + 0
12 + 18x = 48

Add '-12' to each side of the equation.
12 + -12 + 18x = 48 + -12

Combine like terms: 12 + -12 = 0
0 + 18x = 48 + -12
18x = 48 + -12

Combine like terms: 48 + -12 = 36
18x = 36

Divide each side by '18'.
x = 2

Simplifying
x = 2

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