-5x+12=Px+12

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Solution for -5x+12=Px+12 equation: 


Simplifying
-5x + 12 = Px + 12

Reorder the terms:
12 + -5x = Px + 12

Reorder the terms:
12 + -5x = 12 + xP

Add '-12' to each side of the equation.
12 + -12 + -5x = 12 + -12 + xP

Combine like terms: 12 + -12 = 0
0 + -5x = 12 + -12 + xP
-5x = 12 + -12 + xP

Combine like terms: 12 + -12 = 0
-5x = 0 + xP
-5x = xP

Solving
-5x = xP

Solving for variable 'x'.

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

Add '-1xP' to each side of the equation.
-5x + -1xP = xP + -1xP

Combine like terms: xP + -1xP = 0
-5x + -1xP = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(5 + P) = 0

Ignore the factor -1.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(5 + P)' equal to zero and attempt to solve:

Simplifying
5 + P = 0

Solving
5 + P = 0

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

Add '-5' to each side of the equation.
5 + -5 + P = 0 + -5

Combine like terms: 5 + -5 = 0
0 + P = 0 + -5
P = 0 + -5

Combine like terms: 0 + -5 = -5
P = -5

Add '-1P' to each side of the equation.
P + -1P = -5 + -1P

Combine like terms: P + -1P = 0
0 = -5 + -1P

Simplifying
0 = -5 + -1P

The solution to this equation could not be determined.

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

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