1n(5x+21)=1n(12x-28)

Simple and best practice solution for 1n(5x+21)=1n(12x-28) 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 1n(5x+21)=1n(12x-28) equation: 


Simplifying
1n(5x + 21) = 1n(12x + -28)

Reorder the terms:
1n(21 + 5x) = 1n(12x + -28)
(21 * 1n + 5x * 1n) = 1n(12x + -28)
(21n + 5nx) = 1n(12x + -28)

Reorder the terms:
21n + 5nx = 1n(-28 + 12x)
21n + 5nx = (-28 * 1n + 12x * 1n)
21n + 5nx = (-28n + 12nx)

Solving
21n + 5nx = -28n + 12nx

Solving for variable 'n'.

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

Add '28n' to each side of the equation.
21n + 28n + 5nx = -28n + 28n + 12nx

Combine like terms: 21n + 28n = 49n
49n + 5nx = -28n + 28n + 12nx

Combine like terms: -28n + 28n = 0
49n + 5nx = 0 + 12nx
49n + 5nx = 12nx

Add '-12nx' to each side of the equation.
49n + 5nx + -12nx = 12nx + -12nx

Combine like terms: 5nx + -12nx = -7nx
49n + -7nx = 12nx + -12nx

Combine like terms: 12nx + -12nx = 0
49n + -7nx = 0

Factor out the Greatest Common Factor (GCF), '7n'.
7n(7 + -1x) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Add 'x' to each side of the equation.
-1x + x = -7 + x

Combine like terms: -1x + x = 0
0 = -7 + x

Simplifying
0 = -7 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

See similar equations:

| 4x=0.6666666667y | | 12Y=13X-5 | | 2x+3x=-6-3 | | v+2.63=6.99 | | 5X*21=94 | | 4x+x+3=8 | | x+2.5=5.96 | | 2(4y)+3y=1 | | 3(30+7)=x | | (-6b^2+4b+6)-(6b^2+7b-3)= | | 8x-10=5x+11 | | 12Y=6X-6 | | -5-6(1+5n)=199 | | (X+12)+74=180 | | 25*24= | | x-16=4x+5 | | 15x+4y=-5 | | x+(x*.2)=95 | | 8m-5=19 | | -3x+23=x+7 | | 4f-1=3 | | x^-3/y^4 | | 600/24= | | 17x-6=12x+144 | | 3x^2-5=8 | | 3G-9=9 | | -7n^2-6n+1=0 | | f(-3)=4x^2-5 | | 6d-6=0 | | 6s-6=0 | | 5E-18=12 | | n*10=70 |

Equations solver categories