6(2x+11)=12(2x+12)

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Solution for 6(2x+11)=12(2x+12) equation:


Simplifying
6(2x + 11) = 12(2x + 12)

Reorder the terms:
6(11 + 2x) = 12(2x + 12)
(11 * 6 + 2x * 6) = 12(2x + 12)
(66 + 12x) = 12(2x + 12)

Reorder the terms:
66 + 12x = 12(12 + 2x)
66 + 12x = (12 * 12 + 2x * 12)
66 + 12x = (144 + 24x)

Solving
66 + 12x = 144 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
66 + 12x + -24x = 144 + 24x + -24x

Combine like terms: 12x + -24x = -12x
66 + -12x = 144 + 24x + -24x

Combine like terms: 24x + -24x = 0
66 + -12x = 144 + 0
66 + -12x = 144

Add '-66' to each side of the equation.
66 + -66 + -12x = 144 + -66

Combine like terms: 66 + -66 = 0
0 + -12x = 144 + -66
-12x = 144 + -66

Combine like terms: 144 + -66 = 78
-12x = 78

Divide each side by '-12'.
x = -6.5

Simplifying
x = -6.5

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