6(n-2)+2(n+4)=3(n+22)

Simple and best practice solution for 6(n-2)+2(n+4)=3(n+22) 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 6(n-2)+2(n+4)=3(n+22) equation:


Simplifying
6(n + -2) + 2(n + 4) = 3(n + 22)

Reorder the terms:
6(-2 + n) + 2(n + 4) = 3(n + 22)
(-2 * 6 + n * 6) + 2(n + 4) = 3(n + 22)
(-12 + 6n) + 2(n + 4) = 3(n + 22)

Reorder the terms:
-12 + 6n + 2(4 + n) = 3(n + 22)
-12 + 6n + (4 * 2 + n * 2) = 3(n + 22)
-12 + 6n + (8 + 2n) = 3(n + 22)

Reorder the terms:
-12 + 8 + 6n + 2n = 3(n + 22)

Combine like terms: -12 + 8 = -4
-4 + 6n + 2n = 3(n + 22)

Combine like terms: 6n + 2n = 8n
-4 + 8n = 3(n + 22)

Reorder the terms:
-4 + 8n = 3(22 + n)
-4 + 8n = (22 * 3 + n * 3)
-4 + 8n = (66 + 3n)

Solving
-4 + 8n = 66 + 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.
-4 + 8n + -3n = 66 + 3n + -3n

Combine like terms: 8n + -3n = 5n
-4 + 5n = 66 + 3n + -3n

Combine like terms: 3n + -3n = 0
-4 + 5n = 66 + 0
-4 + 5n = 66

Add '4' to each side of the equation.
-4 + 4 + 5n = 66 + 4

Combine like terms: -4 + 4 = 0
0 + 5n = 66 + 4
5n = 66 + 4

Combine like terms: 66 + 4 = 70
5n = 70

Divide each side by '5'.
n = 14

Simplifying
n = 14

See similar equations:

| -w=8w+9 | | 0.35(x+4)=0.55x-0.8 | | -13g+12g=5 | | X/12-x/3-3/3=1/2 | | b+36-7+b= | | -17y+19y-4y=6 | | 3-5k=-4k+9 | | (2x+10)+(x-10)=180 | | Y=1200(1/2)^3 | | -12r+4=64 | | 3g=2g+2 | | Y=1200(1/2)^2 | | -(-3-n)-3(-3-2n)=-9 | | -10b+12b=-14 | | r/-5=8 | | -u-8=3u | | Y=1200(1/2)^1 | | -19q+12q+4q+15q=-12 | | 2(x+2)-3(3x+2)=-9 | | 2n=t+n | | 18x+12=22x | | 7n=12+6n | | Y=1200(1/2)^0 | | -6d=-4d+10 | | 2t+2t+3t-t-4t=14 | | 2c+3c+c=18 | | 2(2+2r)+3(-2r-3)=-9 | | -5t=-9t-8 | | 6v-6v+2v+v=15 | | 2(2+3r)+3(-2r-3)=-9 | | 4p-2p=18 | | m^2+5m+1=0 |

Equations solver categories