3n+5n=8(n+5)+4(n-2)

Simple and best practice solution for 3n+5n=8(n+5)+4(n-2) 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 3n+5n=8(n+5)+4(n-2) equation:


Simplifying
3n + 5n = 8(n + 5) + 4(n + -2)

Combine like terms: 3n + 5n = 8n
8n = 8(n + 5) + 4(n + -2)

Reorder the terms:
8n = 8(5 + n) + 4(n + -2)
8n = (5 * 8 + n * 8) + 4(n + -2)
8n = (40 + 8n) + 4(n + -2)

Reorder the terms:
8n = 40 + 8n + 4(-2 + n)
8n = 40 + 8n + (-2 * 4 + n * 4)
8n = 40 + 8n + (-8 + 4n)

Reorder the terms:
8n = 40 + -8 + 8n + 4n

Combine like terms: 40 + -8 = 32
8n = 32 + 8n + 4n

Combine like terms: 8n + 4n = 12n
8n = 32 + 12n

Solving
8n = 32 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
8n + -12n = 32 + 12n + -12n

Combine like terms: 8n + -12n = -4n
-4n = 32 + 12n + -12n

Combine like terms: 12n + -12n = 0
-4n = 32 + 0
-4n = 32

Divide each side by '-4'.
n = -8

Simplifying
n = -8

See similar equations:

| 8x-22x=33x+44 | | 12x+11-5x=3 | | w-1/7=6/7w-1 | | 4+2a=7+a | | 15(t+3)=3(5t+15) | | 4x^2+3x-125=0 | | 4(-6x+3)=3(10x-4) | | 7x/9=75 | | 6+m/(-12)=18 | | -6+4(x-4)=13x+6-9x | | ((1/4)(6-2x))=-5 | | 2(r-3)=22 | | 5a+2=3a+2a | | 2/3h+1/3h+11=8 | | x+5=-6-16 | | 2x-6=-2+3x | | 6w-4x=3w+5x | | 4x-29=0 | | x+2/3=x/4 | | g=3/8r | | 3x=3x-12 | | 4(x+1)+20= | | 1/4x-2=-3 | | 2/11m+16=4+6/11 | | -3-6=9 | | 6y-22y-40=0 | | 7(h+3)=6(n-3) | | 3.51n=6+2.247n | | 4+a=a+4 | | 2(y-5)=22 | | x^2-49-9x=-9x | | -3x+5+6(x+5)=-2x+3 |

Equations solver categories