3(n+2)=6-3(n-4)

Simple and best practice solution for 3(n+2)=6-3(n-4) 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 3(n+2)=6-3(n-4) equation:


Simplifying
3(n + 2) = 6 + -3(n + -4)

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

Reorder the terms:
6 + 3n = 6 + -3(-4 + n)
6 + 3n = 6 + (-4 * -3 + n * -3)
6 + 3n = 6 + (12 + -3n)

Combine like terms: 6 + 12 = 18
6 + 3n = 18 + -3n

Solving
6 + 3n = 18 + -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.
6 + 3n + 3n = 18 + -3n + 3n

Combine like terms: 3n + 3n = 6n
6 + 6n = 18 + -3n + 3n

Combine like terms: -3n + 3n = 0
6 + 6n = 18 + 0
6 + 6n = 18

Add '-6' to each side of the equation.
6 + -6 + 6n = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 6n = 18 + -6
6n = 18 + -6

Combine like terms: 18 + -6 = 12
6n = 12

Divide each side by '6'.
n = 2

Simplifying
n = 2

See similar equations:

| 3x+13=67-3x | | 3x+13=67+3x | | 3x+14=67+3x | | 6(2x+14)+4x= | | 4x+31=11x-25 | | 0.85x+.05(18-x)=.10(-39) | | 3(4+8x)+17= | | k+1-3k+4= | | 8x*6x-5x*5= | | 12x+5=8x+29 | | 6(3x+3)= | | x*x+8x=12 | | (15x+6)-2x= | | 6x-28=32 | | 6x-28=23 | | x+14=22-3x | | .625y-14=21 | | -8y+24-2y=-12 | | 4x+5=53-2x | | 3+6x=33-x | | 9000lbs=tons | | (x+6)(x+1)=-10 | | 9000lbs= | | 3x+35=12x-55 | | 0.35*(1564.12+x)=x | | 3x^3+17x^2+24x=0 | | 11x-12=7x+4 | | 5x+46=8x+13 | | 6x-4=4x-1 | | 2x=17.2 | | x=22 | | 2x+90=10x-14 |

Equations solver categories