5n+3=2(n-1)+7

Solution for 5n+3=2(n-1)+7 equation:

Simplifying
5n + 3 = 2(n + -1) + 7

Reorder the terms:
3 + 5n = 2(n + -1) + 7

Reorder the terms:
3 + 5n = 2(-1 + n) + 7
3 + 5n = (-1 * 2 + n * 2) + 7
3 + 5n = (-2 + 2n) + 7

Reorder the terms:
3 + 5n = -2 + 7 + 2n

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

Solving
3 + 5n = 5 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
3 + 5n + -2n = 5 + 2n + -2n

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

Combine like terms: 2n + -2n = 0
3 + 3n = 5 + 0
3 + 3n = 5

Add '-3' to each side of the equation.
3 + -3 + 3n = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 3n = 5 + -3
3n = 5 + -3

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

Divide each side by '3'.
n = 0.6666666667

Simplifying
n = 0.6666666667