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

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


Simplifying
5(n + -3) = 3(n + 2)

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

Reorder the terms:
-15 + 5n = 3(2 + n)
-15 + 5n = (2 * 3 + n * 3)
-15 + 5n = (6 + 3n)

Solving
-15 + 5n = 6 + 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.
-15 + 5n + -3n = 6 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-15 + 2n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
-15 + 2n = 6 + 0
-15 + 2n = 6

Add '15' to each side of the equation.
-15 + 15 + 2n = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 2n = 6 + 15
2n = 6 + 15

Combine like terms: 6 + 15 = 21
2n = 21

Divide each side by '2'.
n = 10.5

Simplifying
n = 10.5

See similar equations:

| -8x+7-5= | | 2(-7p+3)= | | 39=2x-5-3x+16 | | -3x-8x=88 | | 5(6n-3)=9+6n | | X-140=240 | | 3640=26000(0.07)T | | 5+9x=2-6x+8 | | -4(-9y+5)= | | -12u=10 | | SQRt(4x+8)-SQRt(3x-2)=2 | | -4m-15=20 | | 2m^2+2=-5m | | 0=x^2-10x+7 | | 4(x-1)2=8 | | 5(w+7)=60 | | 0=x^2-10+7 | | (13n-16)+(6n)+(7n+12)=360 | | 4(-6-5m)= | | w/5-9=17 | | 3x+12=3x-15 | | 3c^3+6c^2-114c=0 | | 8w-23=17 | | 4(x+12)+6x=10x-48 | | 4=-2x+16 | | Lnx+4lny= | | -5(4q-8)= | | 5/7v=10 | | -12u=3 | | 10=m+5+4m | | x-2(2-x)=3(x-2)-x | | -7+3x=-16+17x |

Equations solver categories