3n+2(8-5n)=3(n+4)

Simple and best practice solution for 3n+2(8-5n)=3(n+4) 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 3n+2(8-5n)=3(n+4) equation: 


Simplifying
3n + 2(8 + -5n) = 3(n + 4)
3n + (8 * 2 + -5n * 2) = 3(n + 4)
3n + (16 + -10n) = 3(n + 4)

Reorder the terms:
16 + 3n + -10n = 3(n + 4)

Combine like terms: 3n + -10n = -7n
16 + -7n = 3(n + 4)

Reorder the terms:
16 + -7n = 3(4 + n)
16 + -7n = (4 * 3 + n * 3)
16 + -7n = (12 + 3n)

Solving
16 + -7n = 12 + 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.
16 + -7n + -3n = 12 + 3n + -3n

Combine like terms: -7n + -3n = -10n
16 + -10n = 12 + 3n + -3n

Combine like terms: 3n + -3n = 0
16 + -10n = 12 + 0
16 + -10n = 12

Add '-16' to each side of the equation.
16 + -16 + -10n = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -10n = 12 + -16
-10n = 12 + -16

Combine like terms: 12 + -16 = -4
-10n = -4

Divide each side by '-10'.
n = 0.4

Simplifying
n = 0.4

See similar equations:

| 19+7m=-2m+37 | | 40-2x=7x+20 | | -43=-7x+x+5 | | 24=2x+2x+8 | | 6(x-2)=-12 | | 12+-5t=6(t+2) | | -4(3x-9)=18-2x | | -x+4-6x=-38 | | ln(x)=2*ln(3)-ln(x) | | 2g-6=4 | | P=(r*A)/(1-(1+r)-N) | | 3(2-x)=3 | | x^2+6z-7=0 | | 288=x+4+10(x-1)+4x | | 10a=6a-12 | | 2(x+4)+6=2 | | 2(x+4)+6=2 | | 2288=x+4+10(x-1)+4x | | 1.7q-5.2-5.9q=-5.2q-5.1 | | 4(x-7)/2=7(x-4)/3 | | -2x+6=2(x-3) | | 3/8x+7/6=7/4x | | 6x^(2/3)-4x | | 12+8X=2(2X+3) | | n=32-3n | | 6x+86=15x+5 | | 7+5x+2=8x+-15 | | 2x+3-(3x-8)=12+(2x-1) | | 26400/5280 | | 7a+1/2 | | r^3p-rp^3= | | 6x^(2/3)/4x |

Equations solver categories