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

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


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

Reorder the terms:
5(-5 + 3n) = (3n + 3) + 2
(-5 * 5 + 3n * 5) = (3n + 3) + 2
(-25 + 15n) = (3n + 3) + 2

Reorder the terms:
-25 + 15n = (3 + 3n) + 2

Remove parenthesis around (3 + 3n)
-25 + 15n = 3 + 3n + 2

Reorder the terms:
-25 + 15n = 3 + 2 + 3n

Combine like terms: 3 + 2 = 5
-25 + 15n = 5 + 3n

Solving
-25 + 15n = 5 + 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.
-25 + 15n + -3n = 5 + 3n + -3n

Combine like terms: 15n + -3n = 12n
-25 + 12n = 5 + 3n + -3n

Combine like terms: 3n + -3n = 0
-25 + 12n = 5 + 0
-25 + 12n = 5

Add '25' to each side of the equation.
-25 + 25 + 12n = 5 + 25

Combine like terms: -25 + 25 = 0
0 + 12n = 5 + 25
12n = 5 + 25

Combine like terms: 5 + 25 = 30
12n = 30

Divide each side by '12'.
n = 2.5

Simplifying
n = 2.5

See similar equations:

| 57+z+y=180 | | 10+5h=-65 | | (-3/2)=(-3/5)v-(4/3) | | cbrt(13x-1)-1=4 | | 1/2(2x-1)=5 | | 5/7m-2-6/7m-13 | | 3+15x=3(5x+4) | | 5(x*4)=120/3 | | 0.75x-1.5=-5.2 | | ln(x)+ln(4x)=1 | | 4[y-1]=y+8 | | 3y-y+5=9 | | 24+3x=3x+(-18) | | 24+3x=3x+3(-18) | | 4/5-(2,4-g)-1-3g=0 | | ln(x+7)+ln(x+3)=77 | | 0.03(4t+7)=0.12(t+2)-0.03 | | -2xy^2(xy^2+4xy-4x)= | | 5=(-6)+5 | | Inx+in(x+2)=2 | | 10x-23=4(2x-7)+2x+5 | | 15(5c-1)-8=73c+15 | | x^2+13x+7x=0 | | -0.01x^2-6x-700=0 | | 2-(x+4)=3m-2 | | -0.01x^2+6x-700=0 | | 4k+7(-4-2k)= | | t(n)=5n-0 | | f(x)=ln(100sin^2(x)) | | 3x-4=7+4x | | 0.16-0.02(x+2)=-0.03(1-x) | | r=2*3.14*r |

Equations solver categories