3(2x+4)+12=6(5x+2)

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Solution for 3(2x+4)+12=6(5x+2) equation:


Simplifying
3(2x + 4) + 12 = 6(5x + 2)

Reorder the terms:
3(4 + 2x) + 12 = 6(5x + 2)
(4 * 3 + 2x * 3) + 12 = 6(5x + 2)
(12 + 6x) + 12 = 6(5x + 2)

Reorder the terms:
12 + 12 + 6x = 6(5x + 2)

Combine like terms: 12 + 12 = 24
24 + 6x = 6(5x + 2)

Reorder the terms:
24 + 6x = 6(2 + 5x)
24 + 6x = (2 * 6 + 5x * 6)
24 + 6x = (12 + 30x)

Solving
24 + 6x = 12 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
24 + 6x + -30x = 12 + 30x + -30x

Combine like terms: 6x + -30x = -24x
24 + -24x = 12 + 30x + -30x

Combine like terms: 30x + -30x = 0
24 + -24x = 12 + 0
24 + -24x = 12

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

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

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

Divide each side by '-24'.
x = 0.5

Simplifying
x = 0.5

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