6(n-2)-6=5n-5(n-6)

Simple and best practice solution for 6(n-2)-6=5n-5(n-6) 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 6(n-2)-6=5n-5(n-6) equation:


Simplifying
6(n + -2) + -6 = 5n + -5(n + -6)

Reorder the terms:
6(-2 + n) + -6 = 5n + -5(n + -6)
(-2 * 6 + n * 6) + -6 = 5n + -5(n + -6)
(-12 + 6n) + -6 = 5n + -5(n + -6)

Reorder the terms:
-12 + -6 + 6n = 5n + -5(n + -6)

Combine like terms: -12 + -6 = -18
-18 + 6n = 5n + -5(n + -6)

Reorder the terms:
-18 + 6n = 5n + -5(-6 + n)
-18 + 6n = 5n + (-6 * -5 + n * -5)
-18 + 6n = 5n + (30 + -5n)

Reorder the terms:
-18 + 6n = 30 + 5n + -5n

Combine like terms: 5n + -5n = 0
-18 + 6n = 30 + 0
-18 + 6n = 30

Solving
-18 + 6n = 30

Solving for variable 'n'.

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

Add '18' to each side of the equation.
-18 + 18 + 6n = 30 + 18

Combine like terms: -18 + 18 = 0
0 + 6n = 30 + 18
6n = 30 + 18

Combine like terms: 30 + 18 = 48
6n = 48

Divide each side by '6'.
n = 8

Simplifying
n = 8

See similar equations:

| 3.5(3.5+28)=x(x+14) | | 9x2/15 | | 3a-7a=12 | | 6m+12=3(2m+8) | | 3a+7a=12 | | 4m-4=4(m-1) | | -16t^2-484=0 | | 5x-3=2a | | 2a^3b-10a^2b^2+12ab^3=0 | | 0.5x^2+x=0 | | -(6x-7)+2(3x-4)=3 | | 7y-3=6x-18 | | 26x-6-17x+3=20x-4-11x+17 | | -1(x-7)=-9 | | 2-x=4x+1 | | 5(3x+4)-2x=7-3(-2x+11) | | 15q^2-7q-4=0 | | -3(n-6)=-2(n-6) | | 16+X^2-2x=13 | | x/5-21 | | 20x^2+39x-11=0 | | 0.1(5b+85)=0.5+8.6 | | (5x+3)(3x+7)=abc | | 9(4-v)= | | 2(x+50)-30=15 | | 4y=5x+19 | | (5x+3)(3x+7)=180 | | (5x+3)(3x+7)=90 | | 20r^2-28r-3=0 | | 7d+77=3d-75 | | (5x-22)(4x+4)=90 | | 20-3(2x-1)=-5x+6 |

Equations solver categories