9(3n+1)=7(7n+5)+3

Simple and best practice solution for 9(3n+1)=7(7n+5)+3 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 9(3n+1)=7(7n+5)+3 equation: 


Simplifying
9(3n + 1) = 7(7n + 5) + 3

Reorder the terms:
9(1 + 3n) = 7(7n + 5) + 3
(1 * 9 + 3n * 9) = 7(7n + 5) + 3
(9 + 27n) = 7(7n + 5) + 3

Reorder the terms:
9 + 27n = 7(5 + 7n) + 3
9 + 27n = (5 * 7 + 7n * 7) + 3
9 + 27n = (35 + 49n) + 3

Reorder the terms:
9 + 27n = 35 + 3 + 49n

Combine like terms: 35 + 3 = 38
9 + 27n = 38 + 49n

Solving
9 + 27n = 38 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
9 + 27n + -49n = 38 + 49n + -49n

Combine like terms: 27n + -49n = -22n
9 + -22n = 38 + 49n + -49n

Combine like terms: 49n + -49n = 0
9 + -22n = 38 + 0
9 + -22n = 38

Add '-9' to each side of the equation.
9 + -9 + -22n = 38 + -9

Combine like terms: 9 + -9 = 0
0 + -22n = 38 + -9
-22n = 38 + -9

Combine like terms: 38 + -9 = 29
-22n = 29

Divide each side by '-22'.
n = -1.318181818

Simplifying
n = -1.318181818

See similar equations:

| r/5.5=22 | | 2.25=.10n*.05n | | X+17.4=-4.7 | | 5t^2-5t=2 | | 8a+125ax^3=0 | | 5+4x-x=2x+9-x | | 10000+(1500x)=18000+(1300x) | | -(k+2)+2k=-6+3k | | cos(6x)=sin(6x) | | 5t^2-5t-2=0 | | 2(2n+2)=8(4n+1)+2 | | 41+3x=8 | | -8+5b=8(-7b-1) | | 14x+5=4(2x-1)+6x+9 | | 4+y-2y=10 | | x^2+4*x-21=0 | | 0=5x+12-3y | | 8(y+2)+y=3(y+5)-2 | | 6.4x+2=3.2-4x | | -5(t-3)+8t=5t-5 | | 6y+11=-3y+38 | | n/-57 | | -3y-12-3x=0 | | 365=0.07x+35 | | -4u=100 | | 2+(1+5)=(2+1)+ | | x+5/2=2-(x+2/7) | | X^2-18x=5 | | 0.25(x-10)=6 | | -4y-15=5y+21 | | 5x+7=-3+3x+14 | | 8j=-6 |

Equations solver categories