2n+6=1.5+1+0.5n-3

Solution for 2n+6=1.5+1+0.5n-3 equation:

Simplifying
2n + 6 = 1.5 + 1 + 0.5n + -3

Reorder the terms:
6 + 2n = 1.5 + 1 + 0.5n + -3

Reorder the terms:
6 + 2n = 1.5 + 1 + -3 + 0.5n

Combine like terms: 1.5 + 1 = 2.5
6 + 2n = 2.5 + -3 + 0.5n

Combine like terms: 2.5 + -3 = -0.5
6 + 2n = -0.5 + 0.5n

Solving
6 + 2n = -0.5 + 0.5n

Solving for variable 'n'.

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

Add '-0.5n' to each side of the equation.
6 + 2n + -0.5n = -0.5 + 0.5n + -0.5n

Combine like terms: 2n + -0.5n = 1.5n
6 + 1.5n = -0.5 + 0.5n + -0.5n

Combine like terms: 0.5n + -0.5n = 0.0
6 + 1.5n = -0.5 + 0.0
6 + 1.5n = -0.5

Add '-6' to each side of the equation.
6 + -6 + 1.5n = -0.5 + -6

Combine like terms: 6 + -6 = 0
0 + 1.5n = -0.5 + -6
1.5n = -0.5 + -6

Combine like terms: -0.5 + -6 = -6.5
1.5n = -6.5

Divide each side by '1.5'.
n = -4.333333333

Simplifying
n = -4.333333333