6(n+5)-3(n-2)=12n+18

Simple and best practice solution for 6(n+5)-3(n-2)=12n+18 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 6(n+5)-3(n-2)=12n+18 equation:


Simplifying
6(n + 5) + -3(n + -2) = 12n + 18

Reorder the terms:
6(5 + n) + -3(n + -2) = 12n + 18
(5 * 6 + n * 6) + -3(n + -2) = 12n + 18
(30 + 6n) + -3(n + -2) = 12n + 18

Reorder the terms:
30 + 6n + -3(-2 + n) = 12n + 18
30 + 6n + (-2 * -3 + n * -3) = 12n + 18
30 + 6n + (6 + -3n) = 12n + 18

Reorder the terms:
30 + 6 + 6n + -3n = 12n + 18

Combine like terms: 30 + 6 = 36
36 + 6n + -3n = 12n + 18

Combine like terms: 6n + -3n = 3n
36 + 3n = 12n + 18

Reorder the terms:
36 + 3n = 18 + 12n

Solving
36 + 3n = 18 + 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.
36 + 3n + -12n = 18 + 12n + -12n

Combine like terms: 3n + -12n = -9n
36 + -9n = 18 + 12n + -12n

Combine like terms: 12n + -12n = 0
36 + -9n = 18 + 0
36 + -9n = 18

Add '-36' to each side of the equation.
36 + -36 + -9n = 18 + -36

Combine like terms: 36 + -36 = 0
0 + -9n = 18 + -36
-9n = 18 + -36

Combine like terms: 18 + -36 = -18
-9n = -18

Divide each side by '-9'.
n = 2

Simplifying
n = 2

See similar equations:

| N/16-1=0 | | 0-n=14 | | x+-2=90 | | 2p*3(p+3)=21 | | (2x+3)=2(4x+6) | | 2r-5r-19r+3r=-19 | | (1/2)x-(1/3)(x-4)=3x | | 11x^2+8x=0 | | 2(1)+3y=72 | | 0.75x-5(0.25)=7 | | 21x=-35 | | 4+x-7x=6x+4 | | 3x+7=-4x-7 | | (-6,-6)=-4x+4 | | 19x+5b-12=-8 | | 132=2x+28 | | 15-3y+4y=27 | | f(4)=x-2 | | 6x^2+16x-3=2x^2+5x | | 6$/$- | | 2x-4/6x-8=2/5 | | 6x^2+3y=6 | | 7x+3-5c=15 | | ln(2x+1)-ln(x-2)=3 | | (1/5)-(1/8)x=(3/8) | | ln(2x-2)-ln(x-2)=3 | | (3c+3)(3c-2)= | | 21u-8u-13u+4u=12 | | 3(-1)+2y=78 | | 5x+12x+7(x+8)=200 | | -x+5y=10.5 | | 4x^2/16x |

Equations solver categories