12(2x+7)=6(2x+18)

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Solution for 12(2x+7)=6(2x+18) equation:


Simplifying
12(2x + 7) = 6(2x + 18)

Reorder the terms:
12(7 + 2x) = 6(2x + 18)
(7 * 12 + 2x * 12) = 6(2x + 18)
(84 + 24x) = 6(2x + 18)

Reorder the terms:
84 + 24x = 6(18 + 2x)
84 + 24x = (18 * 6 + 2x * 6)
84 + 24x = (108 + 12x)

Solving
84 + 24x = 108 + 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.
84 + 24x + -12x = 108 + 12x + -12x

Combine like terms: 24x + -12x = 12x
84 + 12x = 108 + 12x + -12x

Combine like terms: 12x + -12x = 0
84 + 12x = 108 + 0
84 + 12x = 108

Add '-84' to each side of the equation.
84 + -84 + 12x = 108 + -84

Combine like terms: 84 + -84 = 0
0 + 12x = 108 + -84
12x = 108 + -84

Combine like terms: 108 + -84 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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