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

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


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

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

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

Solving
24 + 8x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
24 + 8x + -2x = 6 + 2x + -2x

Combine like terms: 8x + -2x = 6x
24 + 6x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 6x = 6 + 0
24 + 6x = 6

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

Combine like terms: 24 + -24 = 0
0 + 6x = 6 + -24
6x = 6 + -24

Combine like terms: 6 + -24 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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