3n-(n-5)=5(2n+3)-22

Simple and best practice solution for 3n-(n-5)=5(2n+3)-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 3n-(n-5)=5(2n+3)-22 equation:


Simplifying
3n + -1(n + -5) = 5(2n + 3) + -22

Reorder the terms:
3n + -1(-5 + n) = 5(2n + 3) + -22
3n + (-5 * -1 + n * -1) = 5(2n + 3) + -22
3n + (5 + -1n) = 5(2n + 3) + -22

Reorder the terms:
5 + 3n + -1n = 5(2n + 3) + -22

Combine like terms: 3n + -1n = 2n
5 + 2n = 5(2n + 3) + -22

Reorder the terms:
5 + 2n = 5(3 + 2n) + -22
5 + 2n = (3 * 5 + 2n * 5) + -22
5 + 2n = (15 + 10n) + -22

Reorder the terms:
5 + 2n = 15 + -22 + 10n

Combine like terms: 15 + -22 = -7
5 + 2n = -7 + 10n

Solving
5 + 2n = -7 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
5 + 2n + -10n = -7 + 10n + -10n

Combine like terms: 2n + -10n = -8n
5 + -8n = -7 + 10n + -10n

Combine like terms: 10n + -10n = 0
5 + -8n = -7 + 0
5 + -8n = -7

Add '-5' to each side of the equation.
5 + -5 + -8n = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -8n = -7 + -5
-8n = -7 + -5

Combine like terms: -7 + -5 = -12
-8n = -12

Divide each side by '-8'.
n = 1.5

Simplifying
n = 1.5

See similar equations:

| y=20+0.05m | | 5x-(8-x)=2[-4-(3+5x)-13] | | 2x+4=7-X | | -4x+7y=-5(x-y)+3 | | 3x+13=7+2x | | y=20+0.05 | | zovery-8=6 | | 5X-33=-3X+23 | | g=z(1+m) | | 4*p+6*q=22 | | 5x+4-2(x+1)=8x+6 | | z=4c-7y | | -16t^2+64t+8-68=0 | | 18x+18=14x | | 3x+3=7-X | | y^2+2+3=0 | | 3x+3y+9=12x+12 | | 3z-10=2 | | y^2+7=3 | | 4c^2-9c+5= | | 30-a=30 | | -5x+4y=-5(x-y)+3 | | y^2+2=3 | | m+5=n-3 | | 25x+50y=200 | | y^2+7=10 | | 3b+8b-b+4=36 | | -5x+4y=-5(x-4)+3 | | 0.4x-73=90 | | 3(x+-2)=5x-8 | | x^3+3s^2+3s+1=0 | | (2w-7)(2-w)=0 |

Equations solver categories