2(n+12)=3(n+9)+6

Simple and best practice solution for 2(n+12)=3(n+9)+6 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 2(n+12)=3(n+9)+6 equation:


Simplifying
2(n + 12) = 3(n + 9) + 6

Reorder the terms:
2(12 + n) = 3(n + 9) + 6
(12 * 2 + n * 2) = 3(n + 9) + 6
(24 + 2n) = 3(n + 9) + 6

Reorder the terms:
24 + 2n = 3(9 + n) + 6
24 + 2n = (9 * 3 + n * 3) + 6
24 + 2n = (27 + 3n) + 6

Reorder the terms:
24 + 2n = 27 + 6 + 3n

Combine like terms: 27 + 6 = 33
24 + 2n = 33 + 3n

Solving
24 + 2n = 33 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
24 + 2n + -3n = 33 + 3n + -3n

Combine like terms: 2n + -3n = -1n
24 + -1n = 33 + 3n + -3n

Combine like terms: 3n + -3n = 0
24 + -1n = 33 + 0
24 + -1n = 33

Add '-24' to each side of the equation.
24 + -24 + -1n = 33 + -24

Combine like terms: 24 + -24 = 0
0 + -1n = 33 + -24
-1n = 33 + -24

Combine like terms: 33 + -24 = 9
-1n = 9

Divide each side by '-1'.
n = -9

Simplifying
n = -9

See similar equations:

| (3+y)+4= | | 4+(g+2)= | | (3z)(3)= | | 7(3c)= | | (-4.6x^3+5.6x-0.3)+(9.8x^2+4.5x-1.7)= | | 20=a-6a | | 6v-30=9v | | 3e-7=17 | | -34-7x=10x+51 | | -2u(u-5)(u+1)=0 | | 10x^3-8x^2-6x= | | 8ft=r*t | | 2(2v)= | | 2x=12-(4x+24) | | 4(6p)= | | 2(w-3)=3w+4-3(-3w-2) | | 4x=12-(2x-24) | | (1+w)+4= | | 2(2+3)=3 | | (y+2)+2= | | 5/8-(1/2-1/4)= | | (9k)(8)= | | 1/15÷1/3×2/5 | | 6+0.5a=21 | | 2+(2+w)= | | 4x+9+2x+22= | | 2+(g+5)= | | 6+0.5a=0 | | 2x+3x+4x=10 | | (v+1)+3= | | (1+z)+3= | | 6y^2-12xy^3= |

Equations solver categories