12(2n+2)+3n=3(5n-12)+2n

Simple and best practice solution for 12(2n+2)+3n=3(5n-12)+2n 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 12(2n+2)+3n=3(5n-12)+2n equation: 


Simplifying
12(2n + 2) + 3n = 3(5n + -12) + 2n

Reorder the terms:
12(2 + 2n) + 3n = 3(5n + -12) + 2n
(2 * 12 + 2n * 12) + 3n = 3(5n + -12) + 2n
(24 + 24n) + 3n = 3(5n + -12) + 2n

Combine like terms: 24n + 3n = 27n
24 + 27n = 3(5n + -12) + 2n

Reorder the terms:
24 + 27n = 3(-12 + 5n) + 2n
24 + 27n = (-12 * 3 + 5n * 3) + 2n
24 + 27n = (-36 + 15n) + 2n

Combine like terms: 15n + 2n = 17n
24 + 27n = -36 + 17n

Solving
24 + 27n = -36 + 17n

Solving for variable 'n'.

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

Add '-17n' to each side of the equation.
24 + 27n + -17n = -36 + 17n + -17n

Combine like terms: 27n + -17n = 10n
24 + 10n = -36 + 17n + -17n

Combine like terms: 17n + -17n = 0
24 + 10n = -36 + 0
24 + 10n = -36

Add '-24' to each side of the equation.
24 + -24 + 10n = -36 + -24

Combine like terms: 24 + -24 = 0
0 + 10n = -36 + -24
10n = -36 + -24

Combine like terms: -36 + -24 = -60
10n = -60

Divide each side by '10'.
n = -6

Simplifying
n = -6

See similar equations:

| 21p(28)=4p | | x/4x5=7 | | 1/2r+2(3/4-1)=1/4R | | 15x-7=6x-22 | | 12(2n+2)+3n=3(5n-12)+2 | | 15(x^2-1)=16 | | 12=7x+6-5x | | 5(1+c)=4(c-6) | | -15n+16=16 | | 4x-14x=16-10-11x | | 3t-9.2=3.5 | | 2*3-4(3-1)=10 | | -4-3/4 | | 4d-18= | | u=-3+(-3) | | 5(x^2-1)=0 | | x-10=4x+3 | | 9c^4-81=0 | | -2(4m-9)=4(-2m+6)-6m | | 3/4-2k | | t-9.2=3.5 | | 2u^2-u+1=0 | | 8=5+x/2 | | 10w-y=-x | | -6(n+6)=200 | | 6(-x-3)+8(6+8x)=30 | | 3/4n=2k | | 3(1)+7= | | -(3a-6)=a+10-8a | | 0.30x+0.05(12-x)=0.10(31) | | -12+12w=-8w-2w | | 35/1.5 |

Equations solver categories