3n+10=2n+6

Solution for 3n+10=2n+6 equation:

Simplifying
3n + 10 = 2n + 6

Reorder the terms:
10 + 3n = 2n + 6

Reorder the terms:
10 + 3n = 6 + 2n

Solving
10 + 3n = 6 + 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.
10 + 3n + -2n = 6 + 2n + -2n

Combine like terms: 3n + -2n = 1n
10 + 1n = 6 + 2n + -2n

Combine like terms: 2n + -2n = 0
10 + 1n = 6 + 0
10 + 1n = 6

Add '-10' to each side of the equation.
10 + -10 + 1n = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 1n = 6 + -10
1n = 6 + -10

Combine like terms: 6 + -10 = -4
1n = -4

Divide each side by '1'.
n = -4

Simplifying
n = -4