7(3n+5)=8(6n+2)+8

Simple and best practice solution for 7(3n+5)=8(6n+2)+8 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 7(3n+5)=8(6n+2)+8 equation: 


Simplifying
7(3n + 5) = 8(6n + 2) + 8

Reorder the terms:
7(5 + 3n) = 8(6n + 2) + 8
(5 * 7 + 3n * 7) = 8(6n + 2) + 8
(35 + 21n) = 8(6n + 2) + 8

Reorder the terms:
35 + 21n = 8(2 + 6n) + 8
35 + 21n = (2 * 8 + 6n * 8) + 8
35 + 21n = (16 + 48n) + 8

Reorder the terms:
35 + 21n = 16 + 8 + 48n

Combine like terms: 16 + 8 = 24
35 + 21n = 24 + 48n

Solving
35 + 21n = 24 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
35 + 21n + -48n = 24 + 48n + -48n

Combine like terms: 21n + -48n = -27n
35 + -27n = 24 + 48n + -48n

Combine like terms: 48n + -48n = 0
35 + -27n = 24 + 0
35 + -27n = 24

Add '-35' to each side of the equation.
35 + -35 + -27n = 24 + -35

Combine like terms: 35 + -35 = 0
0 + -27n = 24 + -35
-27n = 24 + -35

Combine like terms: 24 + -35 = -11
-27n = -11

Divide each side by '-27'.
n = 0.4074074074

Simplifying
n = 0.4074074074

See similar equations:

| (R-5)6= | | 35y^2+18y-8=0 | | 80=2.5m | | 0.10x+0.25(x+10)+0.05*2(x+10)=6.65 | | 9(3n+4)=9(9n+4)+4 | | 11=6x^2-30x-36 | | 5(x-1)=-2+51 | | 0.5x+15=x-6 | | 32=4.12+10.5 | | 0.3x-1.8=0.6 | | 11n-13=n | | N-7-n=4 | | 15(s-3)= | | x(x+3)=21 | | 8(z-3)= | | 9(m-2)= | | e^8x+8=56 | | (2+x)5= | | 3(p-2q)-4(2p-3q-5)=(3p-6q)-(8p-12q-20) | | (3+y)6= | | (Y+2)10= | | 27x+9y= | | 0=-16t^2+104t-98 | | 9q+16=118 | | h=-16t^2+104t-98 | | (X+3)4= | | -6(x-3)+3=21 | | (3N+5)(3N-7)= | | 8=2(3.14)r | | -20=-10s-20 | | x+5+8x= | | X-3=-5x+51 |

Equations solver categories