2.3(1+7.9n)=5(n-7.6)

Solution for 2.3(1+7.9n)=5(n-7.6) equation:

Simplifying
2.3(1 + 7.9n) = 5(n + -7.6)
(1 * 2.3 + 7.9n * 2.3) = 5(n + -7.6)
(2.3 + 18.17n) = 5(n + -7.6)

Reorder the terms:
2.3 + 18.17n = 5(-7.6 + n)
2.3 + 18.17n = (-7.6 * 5 + n * 5)
2.3 + 18.17n = (-38 + 5n)

Solving
2.3 + 18.17n = -38 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
2.3 + 18.17n + -5n = -38 + 5n + -5n

Combine like terms: 18.17n + -5n = 13.17n
2.3 + 13.17n = -38 + 5n + -5n

Combine like terms: 5n + -5n = 0
2.3 + 13.17n = -38 + 0
2.3 + 13.17n = -38

Add '-2.3' to each side of the equation.
2.3 + -2.3 + 13.17n = -38 + -2.3

Combine like terms: 2.3 + -2.3 = 0.0
0.0 + 13.17n = -38 + -2.3
13.17n = -38 + -2.3

Combine like terms: -38 + -2.3 = -40.3
13.17n = -40.3

Divide each side by '13.17'.
n = -3.059984814

Simplifying
n = -3.059984814