5(3n+3)=7(7n+2)+9

Simple and best practice solution for 5(3n+3)=7(7n+2)+9 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 5(3n+3)=7(7n+2)+9 equation:


Simplifying
5(3n + 3) = 7(7n + 2) + 9

Reorder the terms:
5(3 + 3n) = 7(7n + 2) + 9
(3 * 5 + 3n * 5) = 7(7n + 2) + 9
(15 + 15n) = 7(7n + 2) + 9

Reorder the terms:
15 + 15n = 7(2 + 7n) + 9
15 + 15n = (2 * 7 + 7n * 7) + 9
15 + 15n = (14 + 49n) + 9

Reorder the terms:
15 + 15n = 14 + 9 + 49n

Combine like terms: 14 + 9 = 23
15 + 15n = 23 + 49n

Solving
15 + 15n = 23 + 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.
15 + 15n + -49n = 23 + 49n + -49n

Combine like terms: 15n + -49n = -34n
15 + -34n = 23 + 49n + -49n

Combine like terms: 49n + -49n = 0
15 + -34n = 23 + 0
15 + -34n = 23

Add '-15' to each side of the equation.
15 + -15 + -34n = 23 + -15

Combine like terms: 15 + -15 = 0
0 + -34n = 23 + -15
-34n = 23 + -15

Combine like terms: 23 + -15 = 8
-34n = 8

Divide each side by '-34'.
n = -0.2352941176

Simplifying
n = -0.2352941176

See similar equations:

| a=29+32 | | 2.5z+3.3=3.6z | | 2(3g+40)+2(4g)=360 | | (5+2t)(7+2t)(3+2t)=525 | | 4x+60+8x=360 | | 6(3n+1)=7(9n+3)+6 | | 13=8c-2+7c | | -3(4t-4)+2t=6t-5 | | 0.10(y-7)+0.37y=0.07y-0.50 | | 9(x-15)-12(2x-10)=414 | | (V^3/-2u)^2 | | 3(x+1)+3=6x-3(-1+x) | | 3m+6-m-8=4m+12 | | 84=.5(x)(3+3x) | | 360=(3g+40)4g | | 2(3n+2)=9(7n+8)+5 | | 9-8i/1-9i | | 37x+50=6(5x+8)+7x+2 | | -8(x+7)+6=-50 | | 4n-18n=4 | | 150=90+(10+7)w | | B=90+(10+7)w | | 625=275+15x | | 1/9x-5=10 | | Z-6z=9z-2-z | | 3(x^2-4x)=2(x-5) | | 15x-2=50x+12 | | 1.22g-4=0.27 | | -3(5u-4)+7u=4(u+7) | | 5-x=5x+35 | | 175=30(2)g+30+3(g) | | 3x+16=55 |

Equations solver categories