n+(5n+10)=(9n-2)+18

Simple and best practice solution for n+(5n+10)=(9n-2)+18 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 n+(5n+10)=(9n-2)+18 equation: 


Simplifying
n + (5n + 10) = (9n + -2) + 18

Reorder the terms:
n + (10 + 5n) = (9n + -2) + 18

Remove parenthesis around (10 + 5n)
n + 10 + 5n = (9n + -2) + 18

Reorder the terms:
10 + n + 5n = (9n + -2) + 18

Combine like terms: n + 5n = 6n
10 + 6n = (9n + -2) + 18

Reorder the terms:
10 + 6n = (-2 + 9n) + 18

Remove parenthesis around (-2 + 9n)
10 + 6n = -2 + 9n + 18

Reorder the terms:
10 + 6n = -2 + 18 + 9n

Combine like terms: -2 + 18 = 16
10 + 6n = 16 + 9n

Solving
10 + 6n = 16 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
10 + 6n + -9n = 16 + 9n + -9n

Combine like terms: 6n + -9n = -3n
10 + -3n = 16 + 9n + -9n

Combine like terms: 9n + -9n = 0
10 + -3n = 16 + 0
10 + -3n = 16

Add '-10' to each side of the equation.
10 + -10 + -3n = 16 + -10

Combine like terms: 10 + -10 = 0
0 + -3n = 16 + -10
-3n = 16 + -10

Combine like terms: 16 + -10 = 6
-3n = 6

Divide each side by '-3'.
n = -2

Simplifying
n = -2

See similar equations:

| 10x-3.14= | | 5x-y=51 | | b=3f | | 316=15m+1 | | 5+9=70 | | 2*300+20r=720 | | X+5x=-10-8 | | 0.2x-6.21=18.95 | | 3x+0.7=4 | | 3(2+x)+4(3-2x)+4(2x-3)=6-x | | 6-4+11x+x-x+4-1=x-2x+10x+5 | | 5y+ty=10 | | 6z-2z-3=21 | | 17x+16x+12x=180 | | 2y+3y+9=34 | | 9x+5=4+15 | | 2x+6x+7x=45 | | 28=z+z+2z | | 18n+20+n=5+10n-3 | | 7(2x-2)=14x-14 | | -5+8=-2 | | 5c-11=13+c | | 3(x-10)=5(x-2)+6 | | 3lnf=6 | | 3n+10=18 | | 2x^3-19x^2+24x+4=0 | | 7n-16=12 | | n+10=2n-4 | | 2m+9=5m+6 | | 2(x-6)=-3-x | | 2(2x-20)=6x+10 | | 6x+7=x+22 |

Equations solver categories