2(2n+1)=6(6n+5)+6

Simple and best practice solution for 2(2n+1)=6(6n+5)+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(2n+1)=6(6n+5)+6 equation:


Simplifying
2(2n + 1) = 6(6n + 5) + 6

Reorder the terms:
2(1 + 2n) = 6(6n + 5) + 6
(1 * 2 + 2n * 2) = 6(6n + 5) + 6
(2 + 4n) = 6(6n + 5) + 6

Reorder the terms:
2 + 4n = 6(5 + 6n) + 6
2 + 4n = (5 * 6 + 6n * 6) + 6
2 + 4n = (30 + 36n) + 6

Reorder the terms:
2 + 4n = 30 + 6 + 36n

Combine like terms: 30 + 6 = 36
2 + 4n = 36 + 36n

Solving
2 + 4n = 36 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
2 + 4n + -36n = 36 + 36n + -36n

Combine like terms: 4n + -36n = -32n
2 + -32n = 36 + 36n + -36n

Combine like terms: 36n + -36n = 0
2 + -32n = 36 + 0
2 + -32n = 36

Add '-2' to each side of the equation.
2 + -2 + -32n = 36 + -2

Combine like terms: 2 + -2 = 0
0 + -32n = 36 + -2
-32n = 36 + -2

Combine like terms: 36 + -2 = 34
-32n = 34

Divide each side by '-32'.
n = -1.0625

Simplifying
n = -1.0625

See similar equations:

| 2-8(3x+6)=9 | | 34x+13=7(4x+2)+6x-1 | | 0.9x-7.4=0.7 | | 9(x-4)/3=6(x+1)/12 | | 11y^2+83y-40=0 | | (w-1)(5w+3)=0 | | 1/x=0.1 | | 5x+10-87=-57 | | 14(30+d)=-196 | | 3(n+5)=21 | | 5/1/6-1/2/3 | | 0.18(18)+0.03x=0.06(18+x) | | (7+i)/(7-i) | | -3v=10 | | 5y+3(y-7)=5(y+1)-3 | | 5(1/6)-1(2/3) | | -3(2t-5)+2t=5t-2 | | 51/6-12/3 | | 0.95/x=1.43/(0.23+x) | | -2x=6x+8 | | h^2-20h=-21 | | -4(4x-8)+9=-16x+41 | | 1081.43=.0975(r)(3) | | x^2-22x-840=0 | | 3x+1=3(x+2) | | x^2+22x-840=0 | | 7x-18=60 | | 5x-50/5=0 | | 456=24(w) | | 2(2x-2)=4x-4 | | 0.4x+1.3=0.9x-3.2 | | a^2+4a=-5 |

Equations solver categories