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

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

Simplifying
7(5 + n) = 3(n + 1)
(5 * 7 + n * 7) = 3(n + 1)
(35 + 7n) = 3(n + 1)

Reorder the terms:
35 + 7n = 3(1 + n)
35 + 7n = (1 * 3 + n * 3)
35 + 7n = (3 + 3n)

Solving
35 + 7n = 3 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
35 + 7n + -3n = 3 + 3n + -3n

Combine like terms: 7n + -3n = 4n
35 + 4n = 3 + 3n + -3n

Combine like terms: 3n + -3n = 0
35 + 4n = 3 + 0
35 + 4n = 3

Add '-35' to each side of the equation.
35 + -35 + 4n = 3 + -35

Combine like terms: 35 + -35 = 0
0 + 4n = 3 + -35
4n = 3 + -35

Combine like terms: 3 + -35 = -32
4n = -32

Divide each side by '4'.
n = -8

Simplifying
n = -8