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

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


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

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

Reorder the terms:
6 + 2n = 6(-4 + n)
6 + 2n = (-4 * 6 + n * 6)
6 + 2n = (-24 + 6n)

Solving
6 + 2n = -24 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
6 + 2n + -6n = -24 + 6n + -6n

Combine like terms: 2n + -6n = -4n
6 + -4n = -24 + 6n + -6n

Combine like terms: 6n + -6n = 0
6 + -4n = -24 + 0
6 + -4n = -24

Add '-6' to each side of the equation.
6 + -6 + -4n = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -4n = -24 + -6
-4n = -24 + -6

Combine like terms: -24 + -6 = -30
-4n = -30

Divide each side by '-4'.
n = 7.5

Simplifying
n = 7.5

See similar equations:

| 2lm(3x)=8 | | 0=2400/x^2 | | x^2+-12x+36=0 | | 2(x+3)=6(n-4) | | -16t+128t+1680=0 | | 2(3x+4)=2(3x-2)+13 | | -5.1(4y+6)-2.6(3y-5)= | | 2(3x+4)=2(3x-2)+113 | | 2400/x^2 | | -16t+128t+1680= | | (6x^2)/4x | | 4+25x=20x+6 | | x^2+10x+25=10x | | 7h+5=35 | | 3(x+8)+5x=2(4x+12) | | t/5=20 | | 9/x=10/17 | | 9-3(x+4)=12 | | 2z/7+4=9 | | 0.2x+15.6=x-8.32 | | 25y+4=9 | | 0=X^2+4x-98 | | 825y+4=9 | | 12d+6y=57 | | P=(20+0.05x)+0.15(20+0.5x) | | x^2+y^2-x+2y+1=o | | 6/2=x/309.60 | | 8/8+8=9 | | 6/x=2/309.60 | | 3(x+2.25)=2x | | 5+6x=-2x-3 | | 5x-8+7=0 |

Equations solver categories