mod(x+5)+mod(x-3)=8

Solution for mod(x+5)+mod(x-3)=8 equation:

Simplifying
mod(x + 5) + mod(x + -3) = 8

Reorder the terms:
dmo(5 + x) + mod(x + -3) = 8
(5 * dmo + x * dmo) + mod(x + -3) = 8
(5dmo + dmox) + mod(x + -3) = 8

Reorder the terms:
5dmo + dmox + dmo(-3 + x) = 8
5dmo + dmox + (-3 * dmo + x * dmo) = 8
5dmo + dmox + (-3dmo + dmox) = 8

Reorder the terms:
5dmo + -3dmo + dmox + dmox = 8

Combine like terms: 5dmo + -3dmo = 2dmo
2dmo + dmox + dmox = 8

Combine like terms: dmox + dmox = 2dmox
2dmo + 2dmox = 8

Solving
2dmo + 2dmox = 8

Solving for variable 'd'.

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

Reorder the terms:
-8 + 2dmo + 2dmox = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 2dmo + 2dmox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + dmo + dmox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + dmo + dmox)' equal to zero and attempt to solve:

Simplifying
-4 + dmo + dmox = 0

Solving
-4 + dmo + dmox = 0

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

Add '4' to each side of the equation.
-4 + dmo + 4 + dmox = 0 + 4

Reorder the terms:
-4 + 4 + dmo + dmox = 0 + 4

Combine like terms: -4 + 4 = 0
0 + dmo + dmox = 0 + 4
dmo + dmox = 0 + 4

Combine like terms: 0 + 4 = 4
dmo + dmox = 4

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.