7x-1=mx-1

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Solution for 7x-1=mx-1 equation: 


Simplifying
7x + -1 = mx + -1

Reorder the terms:
-1 + 7x = mx + -1

Reorder the terms:
-1 + 7x = -1 + mx

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

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

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

Solving
7x = mx

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1m + 7) = 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 '(-1m + 7)' equal to zero and attempt to solve:

Simplifying
-1m + 7 = 0

Reorder the terms:
7 + -1m = 0

Solving
7 + -1m = 0

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

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

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

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

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

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

Simplifying
0 = -7 + m

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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