In(x+5)+Inx=In(x+12)

Simple and best practice solution for In(x+5)+Inx=In(x+12) 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 In(x+5)+Inx=In(x+12) equation: 


Simplifying
In(x + 5) + Inx = In(x + 12)

Reorder the terms:
nI(5 + x) + Inx = In(x + 12)
(5 * nI + x * nI) + Inx = In(x + 12)
(5nI + nxI) + Inx = In(x + 12)

Combine like terms: nxI + nxI = 2nxI
5nI + 2nxI = In(x + 12)

Reorder the terms:
5nI + 2nxI = nI(12 + x)
5nI + 2nxI = (12 * nI + x * nI)
5nI + 2nxI = (12nI + nxI)

Solving
5nI + 2nxI = 12nI + nxI

Solving for variable 'n'.

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

Add '-12nI' to each side of the equation.
5nI + -12nI + 2nxI = 12nI + -12nI + nxI

Combine like terms: 5nI + -12nI = -7nI
-7nI + 2nxI = 12nI + -12nI + nxI

Combine like terms: 12nI + -12nI = 0
-7nI + 2nxI = 0 + nxI
-7nI + 2nxI = nxI

Add '-1nxI' to each side of the equation.
-7nI + 2nxI + -1nxI = nxI + -1nxI

Combine like terms: 2nxI + -1nxI = 1nxI
-7nI + 1nxI = nxI + -1nxI

Combine like terms: nxI + -1nxI = 0
-7nI + 1nxI = 0

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


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

Simplifying
nI = 0

Solving
nI = 0

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

Simplifying
nI = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
-7 + x = 0

Solving
-7 + x = 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 + x = 0 + 7

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

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

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

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

Simplifying
0 = 7 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 5/6+1/4-7/15= | | 7x+-2(x-10)=40 | | 3+5=3xy+7j | | 5-3m=-13 | | 3(6s+6)-14s=2(2s+1)-5 | | 4(8/7)-3 | | 4*8/7-3 | | 6(x+4)=2(3x+3)+18 | | 6(x+-5)=4x+20 | | -5x+5=x+9 | | 4(-3/4)^2+35(-3/4)+24 | | 3x-6+4=28 | | 3x+5=4x+-2 | | -10x+2=7x+3 | | 9x^2+24x+c= | | (6)(4)xn=90 | | 5y+4x=14 | | -5+u/2=-11 | | x^2+11x+c= | | 4ln(x-6)=20 | | 6+p=n | | 24=4+5w | | 5e^8x=40 | | -6x+2=-8x+8 | | 3(4-2x)=8 | | 2x+8.5=18.50 | | x^2-bx+64=0 | | 9.25+-0.5=25.75+-2y | | 9x-10=7x+5 | | 1x+2y=25.75 | | 1/2(-10+2) | | 2x+y=18.50 |

Equations solver categories