5(2n+3)=8(5n+7)+5

Simple and best practice solution for 5(2n+3)=8(5n+7)+5 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)=8(5n+7)+5 equation: 


Simplifying
5(2n + 3) = 8(5n + 7) + 5

Reorder the terms:
5(3 + 2n) = 8(5n + 7) + 5
(3 * 5 + 2n * 5) = 8(5n + 7) + 5
(15 + 10n) = 8(5n + 7) + 5

Reorder the terms:
15 + 10n = 8(7 + 5n) + 5
15 + 10n = (7 * 8 + 5n * 8) + 5
15 + 10n = (56 + 40n) + 5

Reorder the terms:
15 + 10n = 56 + 5 + 40n

Combine like terms: 56 + 5 = 61
15 + 10n = 61 + 40n

Solving
15 + 10n = 61 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
15 + 10n + -40n = 61 + 40n + -40n

Combine like terms: 10n + -40n = -30n
15 + -30n = 61 + 40n + -40n

Combine like terms: 40n + -40n = 0
15 + -30n = 61 + 0
15 + -30n = 61

Add '-15' to each side of the equation.
15 + -15 + -30n = 61 + -15

Combine like terms: 15 + -15 = 0
0 + -30n = 61 + -15
-30n = 61 + -15

Combine like terms: 61 + -15 = 46
-30n = 46

Divide each side by '-30'.
n = -1.533333333

Simplifying
n = -1.533333333

See similar equations:

| 6X-4=23 | | 10=5-2y+2y | | y[n]-0.1y[n-1]=x[n] | | y-2=5(x-6) | | 4x-5y-1=10 | | 19xy= | | 90=90+10m | | 90=90+10 | | k-4l= | | 2(7-5y)+10y=0 | | xy-6= | | 20-3a= | | ln*x^2=6 | | o=213+2f | | 4(3+.5y)+2y=15 | | X+15=5x+74 | | 23=y+12 | | 9j-5j-4j+2j=14 | | -3(2x-3x)=-6x+9 | | n-n+n=8 | | 15x^2-12x/3 | | 2x-5=-3+3(x-2) | | 4x+2(6-2x)=15 | | 0.06(y-4)+0.10y=0.20y-0.3 | | x^2+6x+y^2-10y-20=0 | | 13d-13d+d=11 | | 4/3÷x=5 | | 324x^2=625 | | 12r-11r=18 | | 5x-(6x-3)=17 | | 4(-3+.5y)+2y=15 | | a+2a+2a-8=180 |

Equations solver categories