Ax=bx+cforx

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Solution for Ax=bx+cforx equation: 


Simplifying
Ax = bx + cforx

Solving
xA = bx + cforx

Solving for variable 'x'.

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

Add '-1bx' to each side of the equation.
-1bx + xA = bx + -1bx + cforx

Combine like terms: bx + -1bx = 0
-1bx + xA = 0 + cforx
-1bx + xA = cforx

Add '-1cforx' to each side of the equation.
-1bx + -1cforx + xA = cforx + -1cforx

Combine like terms: cforx + -1cforx = 0
-1bx + -1cforx + xA = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1b + -1cfor + A) = 0


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 '(-1b + -1cfor + A)' equal to zero and attempt to solve:

Simplifying
-1b + -1cfor + A = 0

Reorder the terms:
A + -1b + -1cfor = 0

Solving
A + -1b + -1cfor = 0

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

Add '-1A' to each side of the equation.
A + -1b + -1A + -1cfor = 0 + -1A

Reorder the terms:
A + -1A + -1b + -1cfor = 0 + -1A

Combine like terms: A + -1A = 0
0 + -1b + -1cfor = 0 + -1A
-1b + -1cfor = 0 + -1A
Remove the zero:
-1b + -1cfor = -1A

Add 'b' to each side of the equation.
-1b + b + -1cfor = -1A + b

Combine like terms: -1b + b = 0
0 + -1cfor = -1A + b
-1cfor = -1A + b

Add 'cfor' to each side of the equation.
-1cfor + cfor = -1A + b + cfor

Combine like terms: -1cfor + cfor = 0
0 = -1A + b + cfor

Simplifying
0 = -1A + b + cfor

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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