2n+6=1.5n+1

Solution for 2n+6=1.5n+1 equation:

Simplifying
2n + 6 = 1.5n + 1

Reorder the terms:
6 + 2n = 1.5n + 1

Reorder the terms:
6 + 2n = 1 + 1.5n

Solving
6 + 2n = 1 + 1.5n

Solving for variable 'n'.

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

Add '-1.5n' to each side of the equation.
6 + 2n + -1.5n = 1 + 1.5n + -1.5n

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

Combine like terms: 1.5n + -1.5n = 0.0
6 + 0.5n = 1 + 0.0
6 + 0.5n = 1

Add '-6' to each side of the equation.
6 + -6 + 0.5n = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 0.5n = 1 + -6
0.5n = 1 + -6

Combine like terms: 1 + -6 = -5
0.5n = -5

Divide each side by '0.5'.
n = -10

Simplifying
n = -10