(2m-1)x+3n+1=7

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


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

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

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

Reorder the terms:
(2mx + -1x) + 3n + 1 = 7
(2mx + -1x) + 3n + 1 = 7

Reorder the terms:
1 + 2mx + 3n + -1x = 7

Solving
1 + 2mx + 3n + -1x = 7

Solving for variable 'm'.

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

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

Reorder the terms:
1 + -1 + 2mx + 3n + -1x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 2mx + 3n + -1x = 7 + -1
2mx + 3n + -1x = 7 + -1

Combine like terms: 7 + -1 = 6
2mx + 3n + -1x = 6

Add '-3n' to each side of the equation.
2mx + 3n + -3n + -1x = 6 + -3n

Combine like terms: 3n + -3n = 0
2mx + 0 + -1x = 6 + -3n
2mx + -1x = 6 + -3n

Add 'x' to each side of the equation.
2mx + -1x + x = 6 + -3n + x

Combine like terms: -1x + x = 0
2mx + 0 = 6 + -3n + x
2mx = 6 + -3n + x

Divide each side by '2x'.
m = 3x-1 + -1.5nx-1 + 0.5

Simplifying
m = 3x-1 + -1.5nx-1 + 0.5

Reorder the terms:
m = 0.5 + -1.5nx-1 + 3x-1

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