0.222n+0.5=0.666(n+3)

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Solution for 0.222n+0.5=0.666(n+3) equation: 


Simplifying
0.222n + 0.5 = 0.666(n + 3)

Reorder the terms:
0.5 + 0.222n = 0.666(n + 3)

Reorder the terms:
0.5 + 0.222n = 0.666(3 + n)
0.5 + 0.222n = (3 * 0.666 + n * 0.666)
0.5 + 0.222n = (1.998 + 0.666n)

Solving
0.5 + 0.222n = 1.998 + 0.666n

Solving for variable 'n'.

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

Add '-0.666n' to each side of the equation.
0.5 + 0.222n + -0.666n = 1.998 + 0.666n + -0.666n

Combine like terms: 0.222n + -0.666n = -0.444n
0.5 + -0.444n = 1.998 + 0.666n + -0.666n

Combine like terms: 0.666n + -0.666n = 0.000
0.5 + -0.444n = 1.998 + 0.000
0.5 + -0.444n = 1.998

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.444n = 1.998 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.444n = 1.998 + -0.5
-0.444n = 1.998 + -0.5

Combine like terms: 1.998 + -0.5 = 1.498
-0.444n = 1.498

Divide each side by '-0.444'.
n = -3.373873874

Simplifying
n = -3.373873874

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