0.3(n+1)=1.66666667(3n-5)

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Solution for 0.3(n+1)=1.66666667(3n-5) equation:


Simplifying
0.3(n + 1) = 1.66666667(3n + -5)

Reorder the terms:
0.3(1 + n) = 1.66666667(3n + -5)
(1 * 0.3 + n * 0.3) = 1.66666667(3n + -5)
(0.3 + 0.3n) = 1.66666667(3n + -5)

Reorder the terms:
0.3 + 0.3n = 1.66666667(-5 + 3n)
0.3 + 0.3n = (-5 * 1.66666667 + 3n * 1.66666667)
0.3 + 0.3n = (-8.33333335 + 5.00000001n)

Solving
0.3 + 0.3n = -8.33333335 + 5.00000001n

Solving for variable 'n'.

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

Add '-5.00000001n' to each side of the equation.
0.3 + 0.3n + -5.00000001n = -8.33333335 + 5.00000001n + -5.00000001n

Combine like terms: 0.3n + -5.00000001n = -4.70000001n
0.3 + -4.70000001n = -8.33333335 + 5.00000001n + -5.00000001n

Combine like terms: 5.00000001n + -5.00000001n = 0.00000000
0.3 + -4.70000001n = -8.33333335 + 0.00000000
0.3 + -4.70000001n = -8.33333335

Add '-0.3' to each side of the equation.
0.3 + -0.3 + -4.70000001n = -8.33333335 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -4.70000001n = -8.33333335 + -0.3
-4.70000001n = -8.33333335 + -0.3

Combine like terms: -8.33333335 + -0.3 = -8.63333335
-4.70000001n = -8.63333335

Divide each side by '-4.70000001'.
n = 1.836879432

Simplifying
n = 1.836879432

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