(2m-1)x+3m=m(-4x+5)+7x

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Solution for (2m-1)x+3m=m(-4x+5)+7x equation:


Simplifying
(2m + -1) * x + 3m = m(-4x + 5) + 7x

Reorder the terms:
(-1 + 2m) * x + 3m = m(-4x + 5) + 7x

Reorder the terms for easier multiplication:
x(-1 + 2m) + 3m = m(-4x + 5) + 7x
(-1 * x + 2m * x) + 3m = m(-4x + 5) + 7x

Reorder the terms:
(2mx + -1x) + 3m = m(-4x + 5) + 7x
(2mx + -1x) + 3m = m(-4x + 5) + 7x

Reorder the terms:
3m + 2mx + -1x = m(-4x + 5) + 7x

Reorder the terms:
3m + 2mx + -1x = m(5 + -4x) + 7x
3m + 2mx + -1x = (5 * m + -4x * m) + 7x
3m + 2mx + -1x = (5m + -4mx) + 7x

Solving
3m + 2mx + -1x = 5m + -4mx + 7x

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
3m + 2mx + -5m + -1x = 5m + -4mx + -5m + 7x

Reorder the terms:
3m + -5m + 2mx + -1x = 5m + -4mx + -5m + 7x

Combine like terms: 3m + -5m = -2m
-2m + 2mx + -1x = 5m + -4mx + -5m + 7x

Reorder the terms:
-2m + 2mx + -1x = 5m + -5m + -4mx + 7x

Combine like terms: 5m + -5m = 0
-2m + 2mx + -1x = 0 + -4mx + 7x
-2m + 2mx + -1x = -4mx + 7x

Add '4mx' to each side of the equation.
-2m + 2mx + 4mx + -1x = -4mx + 4mx + 7x

Combine like terms: 2mx + 4mx = 6mx
-2m + 6mx + -1x = -4mx + 4mx + 7x

Combine like terms: -4mx + 4mx = 0
-2m + 6mx + -1x = 0 + 7x
-2m + 6mx + -1x = 7x

Add 'x' to each side of the equation.
-2m + 6mx + -1x + x = 7x + x

Combine like terms: -1x + x = 0
-2m + 6mx + 0 = 7x + x
-2m + 6mx = 7x + x

Combine like terms: 7x + x = 8x
-2m + 6mx = 8x

Combine like terms: 8x + -8x = 0
-2m + 6mx + -8x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1m + 3mx + -4x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1m + 3mx + -4x)' equal to zero and attempt to solve: Simplifying -1m + 3mx + -4x = 0 Solving -1m + 3mx + -4x = 0 Move all terms containing m to the left, all other terms to the right. Add '4x' to each side of the equation. -1m + 3mx + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 -1m + 3mx + 0 = 0 + 4x -1m + 3mx = 0 + 4x Remove the zero: -1m + 3mx = 4x 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.

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