6(12-6x)=5(x+4)

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


Simplifying
6(12 + -6x) = 5(x + 4)
(12 * 6 + -6x * 6) = 5(x + 4)
(72 + -36x) = 5(x + 4)

Reorder the terms:
72 + -36x = 5(4 + x)
72 + -36x = (4 * 5 + x * 5)
72 + -36x = (20 + 5x)

Solving
72 + -36x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
72 + -36x + -5x = 20 + 5x + -5x

Combine like terms: -36x + -5x = -41x
72 + -41x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
72 + -41x = 20 + 0
72 + -41x = 20

Add '-72' to each side of the equation.
72 + -72 + -41x = 20 + -72

Combine like terms: 72 + -72 = 0
0 + -41x = 20 + -72
-41x = 20 + -72

Combine like terms: 20 + -72 = -52
-41x = -52

Divide each side by '-41'.
x = 1.268292683

Simplifying
x = 1.268292683

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