3n+5-3(1-7n)=5+7n

Solution for 3n+5-3(1-7n)=5+7n equation:

Simplifying
3n + 5 + -3(1 + -7n) = 5 + 7n
3n + 5 + (1 * -3 + -7n * -3) = 5 + 7n
3n + 5 + (-3 + 21n) = 5 + 7n

Reorder the terms:
5 + -3 + 3n + 21n = 5 + 7n

Combine like terms: 5 + -3 = 2
2 + 3n + 21n = 5 + 7n

Combine like terms: 3n + 21n = 24n
2 + 24n = 5 + 7n

Solving
2 + 24n = 5 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
2 + 24n + -7n = 5 + 7n + -7n

Combine like terms: 24n + -7n = 17n
2 + 17n = 5 + 7n + -7n

Combine like terms: 7n + -7n = 0
2 + 17n = 5 + 0
2 + 17n = 5

Add '-2' to each side of the equation.
2 + -2 + 17n = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 17n = 5 + -2
17n = 5 + -2

Combine like terms: 5 + -2 = 3
17n = 3

Divide each side by '17'.
n = 0.1764705882

Simplifying
n = 0.1764705882