4(n-5)=5n-6

Simple and best practice solution for 4(n-5)=5n-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 4(n-5)=5n-6 equation:


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

Reorder the terms:
4(-5 + n) = 5n + -6
(-5 * 4 + n * 4) = 5n + -6
(-20 + 4n) = 5n + -6

Reorder the terms:
-20 + 4n = -6 + 5n

Solving
-20 + 4n = -6 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-20 + 4n + -5n = -6 + 5n + -5n

Combine like terms: 4n + -5n = -1n
-20 + -1n = -6 + 5n + -5n

Combine like terms: 5n + -5n = 0
-20 + -1n = -6 + 0
-20 + -1n = -6

Add '20' to each side of the equation.
-20 + 20 + -1n = -6 + 20

Combine like terms: -20 + 20 = 0
0 + -1n = -6 + 20
-1n = -6 + 20

Combine like terms: -6 + 20 = 14
-1n = 14

Divide each side by '-1'.
n = -14

Simplifying
n = -14

See similar equations:

| -x+6=x^2+3x+18 | | 4x^2+68x-72=0 | | 10(x+15)=1 | | 10(x+15)=20 | | 91-2x=25x+16 | | -3(x-5)=4x+6 | | 10(x+7)=12 | | 8(x+7)=12 | | 8(x+1)=12 | | 8(x+15)=12 | | 8(x+15)=5 | | 8(x+15)=50 | | .25*x=6 | | 8(x+5)=50 | | 8(x+50)=50 | | 8(x+50)=17 | | 85=5x | | -4(x^2-12)=x^2(12-x^2) | | 6x^4+2x^2-4=0 | | 7n^2=4n | | 2ln(x-1)=8 | | 330+80x=7208-220x | | 1-3c=3 | | 2m+5=2m+5 | | -16t^2+60t-7=0 | | (3x-8)(3x-5)=0 | | 9x+5-5x=-8-x+8 | | 5k-8=3k+13 | | 4a^2-28a+170=0 | | (12x-3y-12z)+(-4x-10y+12z)= | | s^2=576 | | 2(-6x+6)=(9x-3) |

Equations solver categories