5(2n+3)=9(6n+9)+8

Simple and best practice solution for 5(2n+3)=9(6n+9)+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 5(2n+3)=9(6n+9)+8 equation: 


Simplifying
5(2n + 3) = 9(6n + 9) + 8

Reorder the terms:
5(3 + 2n) = 9(6n + 9) + 8
(3 * 5 + 2n * 5) = 9(6n + 9) + 8
(15 + 10n) = 9(6n + 9) + 8

Reorder the terms:
15 + 10n = 9(9 + 6n) + 8
15 + 10n = (9 * 9 + 6n * 9) + 8
15 + 10n = (81 + 54n) + 8

Reorder the terms:
15 + 10n = 81 + 8 + 54n

Combine like terms: 81 + 8 = 89
15 + 10n = 89 + 54n

Solving
15 + 10n = 89 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
15 + 10n + -54n = 89 + 54n + -54n

Combine like terms: 10n + -54n = -44n
15 + -44n = 89 + 54n + -54n

Combine like terms: 54n + -54n = 0
15 + -44n = 89 + 0
15 + -44n = 89

Add '-15' to each side of the equation.
15 + -15 + -44n = 89 + -15

Combine like terms: 15 + -15 = 0
0 + -44n = 89 + -15
-44n = 89 + -15

Combine like terms: 89 + -15 = 74
-44n = 74

Divide each side by '-44'.
n = -1.681818182

Simplifying
n = -1.681818182

See similar equations:

| x(3x-16)+5=x(9x-44x)-5 | | 4y/11-13/66=y/6 | | -3x-4x+28=84 | | A=5(3)+2(4) | | 9x+7x=229 | | 9x+7x=29 | | A=5b+2c | | A=5*3+2*4 | | 3x+12x+36=141 | | 6x-6-4x=-24 | | -6x+8-2x=-48 | | 4x=2(x+11) | | 3z=.90 | | -4x-24+3x=-15 | | .5+3z=2.5 | | .5+3z=.25 | | -3(2x+2)=-6x-6 | | y=-12(2)+10 | | 2x+8+4x-128= | | Y=6(5)-1 | | 2g+2(-8+3g)=9-G | | 2A-55=133 | | 2x+2x-16=20 | | 3k/5=23 | | 6x-2x-8=28 | | -3n-6(5+4n)=132 | | -5p+2p=-15 | | x^2+4y^2-2x+16y+13=0 | | 3(2n+2)=6(6n+9)+8 | | y=-12x+10 | | 9m-5=108 | | 36x^2+9X=0 |

Equations solver categories