2(3n+2)+4=-3(n+3)-1

Simple and best practice solution for 2(3n+2)+4=-3(n+3)-1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2(3n+2)+4=-3(n+3)-1 equation: 


Simplifying
2(3n + 2) + 4 = -3(n + 3) + -1

Reorder the terms:
2(2 + 3n) + 4 = -3(n + 3) + -1
(2 * 2 + 3n * 2) + 4 = -3(n + 3) + -1
(4 + 6n) + 4 = -3(n + 3) + -1

Reorder the terms:
4 + 4 + 6n = -3(n + 3) + -1

Combine like terms: 4 + 4 = 8
8 + 6n = -3(n + 3) + -1

Reorder the terms:
8 + 6n = -3(3 + n) + -1
8 + 6n = (3 * -3 + n * -3) + -1
8 + 6n = (-9 + -3n) + -1

Reorder the terms:
8 + 6n = -9 + -1 + -3n

Combine like terms: -9 + -1 = -10
8 + 6n = -10 + -3n

Solving
8 + 6n = -10 + -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.
8 + 6n + 3n = -10 + -3n + 3n

Combine like terms: 6n + 3n = 9n
8 + 9n = -10 + -3n + 3n

Combine like terms: -3n + 3n = 0
8 + 9n = -10 + 0
8 + 9n = -10

Add '-8' to each side of the equation.
8 + -8 + 9n = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 9n = -10 + -8
9n = -10 + -8

Combine like terms: -10 + -8 = -18
9n = -18

Divide each side by '9'.
n = -2

Simplifying
n = -2

See similar equations:

| 5n^2+38n+21=0 | | 8x-cx=5a-3b | | 4n+2=-18 | | 3/8-1/8 | | -x+2+13x=-7+3x+63 | | f(-2)+f(1)= | | s=2pir^2+2pirh | | 3(f+12)=8-4d | | s+21/2s+10=52 | | 21x+4+22x-2=180 | | 0.1x-0.9y=-0.4 | | 4x^2-32x+80+2x^2-28=42 | | -6x-18=-12 | | 5x+2+x=1+3x-11 | | kn+mp=q | | 8w/3+5=13 | | -2x+16=-10 | | 5/9+3/4x=2/3x-1/6 | | -5x-3y=-22 | | a^2=7a-10 | | (X-2)+2= | | (t+8)/(2(t+1)) | | 2m+5=5m-7 | | 1x-4117x=229 | | 0.3x+1.7=2 | | 7/2-1=2w+5 | | 5x-3(x+2)=4x | | 9x-9+3x=27 | | 8+4+3n=19 | | 7a-3=33+6a | | 5t^2+9=14t | | 13=2x+13 |

Equations solver categories