(2x-y)(m+5)=m(x-1)

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Solution for (2x-y)(m+5)=m(x-1) equation: 


Simplifying
(2x + -1y)(m + 5) = m(x + -1)

Reorder the terms:
(2x + -1y)(5 + m) = m(x + -1)

Multiply (2x + -1y) * (5 + m)
(2x * (5 + m) + -1y * (5 + m)) = m(x + -1)
((5 * 2x + m * 2x) + -1y * (5 + m)) = m(x + -1)

Reorder the terms:
((2mx + 10x) + -1y * (5 + m)) = m(x + -1)
((2mx + 10x) + -1y * (5 + m)) = m(x + -1)
(2mx + 10x + (5 * -1y + m * -1y)) = m(x + -1)

Reorder the terms:
(2mx + 10x + (-1my + -5y)) = m(x + -1)
(2mx + 10x + (-1my + -5y)) = m(x + -1)

Reorder the terms:
(2mx + -1my + 10x + -5y) = m(x + -1)
(2mx + -1my + 10x + -5y) = m(x + -1)

Reorder the terms:
2mx + -1my + 10x + -5y = m(-1 + x)
2mx + -1my + 10x + -5y = (-1 * m + x * m)
2mx + -1my + 10x + -5y = (-1m + mx)

Solving
2mx + -1my + 10x + -5y = -1m + mx

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
2mx + -1my + 10x + m + -5y = -1m + m + mx

Reorder the terms:
m + 2mx + -1my + 10x + -5y = -1m + m + mx

Combine like terms: -1m + m = 0
m + 2mx + -1my + 10x + -5y = 0 + mx
m + 2mx + -1my + 10x + -5y = mx

Add '-1mx' to each side of the equation.
m + 2mx + -1my + 10x + -1mx + -5y = mx + -1mx

Reorder the terms:
m + 2mx + -1mx + -1my + 10x + -5y = mx + -1mx

Combine like terms: 2mx + -1mx = 1mx
m + 1mx + -1my + 10x + -5y = mx + -1mx

Combine like terms: mx + -1mx = 0
m + 1mx + -1my + 10x + -5y = 0

Add '-10x' to each side of the equation.
m + 1mx + -1my + 10x + -10x + -5y = 0 + -10x

Combine like terms: 10x + -10x = 0
m + 1mx + -1my + 0 + -5y = 0 + -10x
m + 1mx + -1my + -5y = 0 + -10x
Remove the zero:
m + 1mx + -1my + -5y = -10x

Add '5y' to each side of the equation.
m + 1mx + -1my + -5y + 5y = -10x + 5y

Combine like terms: -5y + 5y = 0
m + 1mx + -1my + 0 = -10x + 5y
m + 1mx + -1my = -10x + 5y

Reorder the terms:
m + 1mx + -1my + 10x + -5y = -10x + 10x + 5y + -5y

Combine like terms: -10x + 10x = 0
m + 1mx + -1my + 10x + -5y = 0 + 5y + -5y
m + 1mx + -1my + 10x + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
m + 1mx + -1my + 10x + -5y = 0

The solution to this equation could not be determined.

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