-2n+4(3n+8)=4n+7(2n-8)

Simple and best practice solution for -2n+4(3n+8)=4n+7(2n-8) 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 -2n+4(3n+8)=4n+7(2n-8) equation: 


Simplifying
-2n + 4(3n + 8) = 4n + 7(2n + -8)

Reorder the terms:
-2n + 4(8 + 3n) = 4n + 7(2n + -8)
-2n + (8 * 4 + 3n * 4) = 4n + 7(2n + -8)
-2n + (32 + 12n) = 4n + 7(2n + -8)

Reorder the terms:
32 + -2n + 12n = 4n + 7(2n + -8)

Combine like terms: -2n + 12n = 10n
32 + 10n = 4n + 7(2n + -8)

Reorder the terms:
32 + 10n = 4n + 7(-8 + 2n)
32 + 10n = 4n + (-8 * 7 + 2n * 7)
32 + 10n = 4n + (-56 + 14n)

Reorder the terms:
32 + 10n = -56 + 4n + 14n

Combine like terms: 4n + 14n = 18n
32 + 10n = -56 + 18n

Solving
32 + 10n = -56 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
32 + 10n + -18n = -56 + 18n + -18n

Combine like terms: 10n + -18n = -8n
32 + -8n = -56 + 18n + -18n

Combine like terms: 18n + -18n = 0
32 + -8n = -56 + 0
32 + -8n = -56

Add '-32' to each side of the equation.
32 + -32 + -8n = -56 + -32

Combine like terms: 32 + -32 = 0
0 + -8n = -56 + -32
-8n = -56 + -32

Combine like terms: -56 + -32 = -88
-8n = -88

Divide each side by '-8'.
n = 11

Simplifying
n = 11

See similar equations:

| 2(3x+1)=4x+2 | | 9.8t^2+5t=0 | | 5(5x+2)=90 | | 10/8÷5 | | 2.3+r=3.6 | | 2(5x-3)-3(5x+4)=7 | | K/3=4/5 | | 2.4=3c | | .06c=1740 | | 5z-5z= | | (8x+6)=118 | | 8/9=12÷p | | 7cosx-2=4 | | 11=-5z-2 | | 3/17x=9 | | (2)1/2x=10 | | -90-5x-4x=27 | | 2(3x-1)-10=0 | | 5m^1/4 | | 4(x-6)-6x=X-48 | | -7x-41-4x=80 | | 2(1/2)x=10 | | 3.2E-9= | | 6x-107+7x=75 | | y/8-3=3 | | D-5/20=1/4 | | 3x-2x-16=6 | | y/1-1=3 | | (9x^2y)/12xy^6 | | -88-8x-3x=66 | | ln(x+6)-7lnx= | | 35/14 |

Equations solver categories