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

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

Simplifying
-2n + 1 = 3(n + 2)

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

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

Solving
1 + -2n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
1 + -2n + -3n = 6 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
1 + -5n = 6 + 0
1 + -5n = 6

Add '-1' to each side of the equation.
1 + -1 + -5n = 6 + -1

Combine like terms: 1 + -1 = 0
0 + -5n = 6 + -1
-5n = 6 + -1

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

Divide each side by '-5'.
n = -1

Simplifying
n = -1