.5(2n-3)=5.5n+4

Solution for .5(2n-3)=5.5n+4 equation:

Simplifying
0.5(2n + -3) = 5.5n + 4

Reorder the terms:
0.5(-3 + 2n) = 5.5n + 4
(-3 * 0.5 + 2n * 0.5) = 5.5n + 4
(-1.5 + 1n) = 5.5n + 4

Reorder the terms:
-1.5 + 1n = 4 + 5.5n

Solving
-1.5 + 1n = 4 + 5.5n

Solving for variable 'n'.

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

Add '-5.5n' to each side of the equation.
-1.5 + 1n + -5.5n = 4 + 5.5n + -5.5n

Combine like terms: 1n + -5.5n = -4.5n
-1.5 + -4.5n = 4 + 5.5n + -5.5n

Combine like terms: 5.5n + -5.5n = 0.0
-1.5 + -4.5n = 4 + 0.0
-1.5 + -4.5n = 4

Add '1.5' to each side of the equation.
-1.5 + 1.5 + -4.5n = 4 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + -4.5n = 4 + 1.5
-4.5n = 4 + 1.5

Combine like terms: 4 + 1.5 = 5.5
-4.5n = 5.5

Divide each side by '-4.5'.
n = -1.222222222

Simplifying
n = -1.222222222