5n-3*(2-n)=1-(n+2)

Solution for 5n-3*(2-n)=1-(n+2) equation:

Simplifying
5n + -3(2 + -1n) = 1 + -1(n + 2)
5n + (2 * -3 + -1n * -3) = 1 + -1(n + 2)
5n + (-6 + 3n) = 1 + -1(n + 2)

Reorder the terms:
-6 + 5n + 3n = 1 + -1(n + 2)

Combine like terms: 5n + 3n = 8n
-6 + 8n = 1 + -1(n + 2)

Reorder the terms:
-6 + 8n = 1 + -1(2 + n)
-6 + 8n = 1 + (2 * -1 + n * -1)
-6 + 8n = 1 + (-2 + -1n)

Combine like terms: 1 + -2 = -1
-6 + 8n = -1 + -1n

Solving
-6 + 8n = -1 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-6 + 8n + n = -1 + -1n + n

Combine like terms: 8n + n = 9n
-6 + 9n = -1 + -1n + n

Combine like terms: -1n + n = 0
-6 + 9n = -1 + 0
-6 + 9n = -1

Add '6' to each side of the equation.
-6 + 6 + 9n = -1 + 6

Combine like terms: -6 + 6 = 0
0 + 9n = -1 + 6
9n = -1 + 6

Combine like terms: -1 + 6 = 5
9n = 5

Divide each side by '9'.
n = 0.5555555556

Simplifying
n = 0.5555555556