6(2n-3)=(3n+8)+2

Simple and best practice solution for 6(2n-3)=(3n+8)+2 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(2n-3)=(3n+8)+2 equation: 


Simplifying
6(2n + -3) = (3n + 8) + 2

Reorder the terms:
6(-3 + 2n) = (3n + 8) + 2
(-3 * 6 + 2n * 6) = (3n + 8) + 2
(-18 + 12n) = (3n + 8) + 2

Reorder the terms:
-18 + 12n = (8 + 3n) + 2

Remove parenthesis around (8 + 3n)
-18 + 12n = 8 + 3n + 2

Reorder the terms:
-18 + 12n = 8 + 2 + 3n

Combine like terms: 8 + 2 = 10
-18 + 12n = 10 + 3n

Solving
-18 + 12n = 10 + 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.
-18 + 12n + -3n = 10 + 3n + -3n

Combine like terms: 12n + -3n = 9n
-18 + 9n = 10 + 3n + -3n

Combine like terms: 3n + -3n = 0
-18 + 9n = 10 + 0
-18 + 9n = 10

Add '18' to each side of the equation.
-18 + 18 + 9n = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 9n = 10 + 18
9n = 10 + 18

Combine like terms: 10 + 18 = 28
9n = 28

Divide each side by '9'.
n = 3.111111111

Simplifying
n = 3.111111111

See similar equations:

| 3(2(x-2)-7(2x-3))-5(4(2x-5)-(3x-2))=6(x+1)+1 | | S-10=2 | | 2x+34=-4 | | cos(2x)+sin(4x)=0 | | 24/45=a | | 3(x-4)+5(x-4)=-8x-32 | | 2y/5y-7= | | (4p(2)+2p+5)-4p(2)+9p+9= | | 3(2(x-2)-7(2x-3))-5(4(2x-5)-(2x-2))=6(x+1)+1 | | 5x-6x=85 | | 3(2n-1)=(9n+3)+2 | | -23=3e+9 | | b+5=12 | | 3(x-4)+5(x-4)=8x-32 | | 157-4x=6x+17 | | 6x-2=3x+50 | | 2*x=6 | | ln(3x-1)-ln(2x-1)=1 | | n+10=11 | | 52=-2x-10 | | -3(t-2)+9t=8t-2 | | 24/45=2x/3 | | -7x-2(3x+4)=-164 | | p+3=10 | | 60+44b=96+32b | | 15x=-40 | | 4+m=6 | | 15x=40 | | 4x+7x=132 | | 4x+8=62-2 | | -43+3x=15+11x | | -5(t-1)+8t=7+-1 |

Equations solver categories