5(2n+12)=10(n+5)-40n

Simple and best practice solution for 5(2n+12)=10(n+5)-40n 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 5(2n+12)=10(n+5)-40n equation: 


Simplifying
5(2n + 12) = 10(n + 5) + -40n

Reorder the terms:
5(12 + 2n) = 10(n + 5) + -40n
(12 * 5 + 2n * 5) = 10(n + 5) + -40n
(60 + 10n) = 10(n + 5) + -40n

Reorder the terms:
60 + 10n = 10(5 + n) + -40n
60 + 10n = (5 * 10 + n * 10) + -40n
60 + 10n = (50 + 10n) + -40n

Combine like terms: 10n + -40n = -30n
60 + 10n = 50 + -30n

Solving
60 + 10n = 50 + -30n

Solving for variable 'n'.

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

Add '30n' to each side of the equation.
60 + 10n + 30n = 50 + -30n + 30n

Combine like terms: 10n + 30n = 40n
60 + 40n = 50 + -30n + 30n

Combine like terms: -30n + 30n = 0
60 + 40n = 50 + 0
60 + 40n = 50

Add '-60' to each side of the equation.
60 + -60 + 40n = 50 + -60

Combine like terms: 60 + -60 = 0
0 + 40n = 50 + -60
40n = 50 + -60

Combine like terms: 50 + -60 = -10
40n = -10

Divide each side by '40'.
n = -0.25

Simplifying
n = -0.25

See similar equations:

| -282-(+1017)= | | 9+10z-6=9z+75-7z | | 7-15p-3p+8=-10+2p+11 | | 3(2w+7)=9 | | 9p+49=-3-4p | | 12(x-2)-8x+3= | | .66x-.16=.50x+.83 | | 8/7y+2/y=1 | | 2(a-3)-4a= | | 6+3v-10v+10+6v=-4 | | 4x-(9-3x)=8(x-1/8) | | .8w-.4=-4+w | | 11=-8v+6+6v+2 | | 5a-2a+3= | | .6w-.8=-6+w | | 5s+7s=8 | | 8x+9x=119 | | x+x+30+3x=180 | | 4y-5x+8y-3y= | | 0.80(x-100.00)=x-50.00 | | 4/13x=28 | | x/16=-30 | | 9+3X+2Y=0 | | 5+3s-6s= | | x/16=30 | | 4h+12=-1 | | -r=120 | | 7n+4*8n-1= | | 4t=-80 | | 12n=-6-24n | | 7r^2+6rs-s^2=0 | | 1.4y=y+3+2 |

Equations solver categories