3x*7m-5m*x=48m

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Solution for 3x*7m-5m*x=48m equation: 


Simplifying
3x * 7m + -5m * x = 48m

Reorder the terms for easier multiplication:
3 * 7x * m + -5m * x = 48m

Multiply 3 * 7
21x * m + -5m * x = 48m

Multiply x * m
21mx + -5m * x = 48m

Multiply m * x
21mx + -5mx = 48m

Combine like terms: 21mx + -5mx = 16mx
16mx = 48m

Solving
16mx = 48m

Solving for variable 'm'.

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

Add '-48m' to each side of the equation.
-48m + 16mx = 48m + -48m

Combine like terms: 48m + -48m = 0
-48m + 16mx = 0

Factor out the Greatest Common Factor (GCF), '16m'.
16m(-3 + x) = 0

Ignore the factor 16.

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

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Add '-1x' to each side of the equation.
x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
0 = 3 + -1x

Simplifying
0 = 3 + -1x

The solution to this equation could not be determined.

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

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