6(x+6)=12x+24

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Solution for 6(x+6)=12x+24 equation:


Simplifying
6(x + 6) = 12x + 24

Reorder the terms:
6(6 + x) = 12x + 24
(6 * 6 + x * 6) = 12x + 24
(36 + 6x) = 12x + 24

Reorder the terms:
36 + 6x = 24 + 12x

Solving
36 + 6x = 24 + 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.
36 + 6x + -12x = 24 + 12x + -12x

Combine like terms: 6x + -12x = -6x
36 + -6x = 24 + 12x + -12x

Combine like terms: 12x + -12x = 0
36 + -6x = 24 + 0
36 + -6x = 24

Add '-36' to each side of the equation.
36 + -36 + -6x = 24 + -36

Combine like terms: 36 + -36 = 0
0 + -6x = 24 + -36
-6x = 24 + -36

Combine like terms: 24 + -36 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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