7n+3=2n-2

Solution for 7n+3=2n-2 equation:

Simplifying
7n + 3 = 2n + -2

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

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

Solving
3 + 7n = -2 + 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 + 7n + -2n = -2 + 2n + -2n

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

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

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

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

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

Divide each side by '5'.
n = -1

Simplifying
n = -1