y-x=m(x-p)

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Solution for y-x=m(x-p) equation:


Simplifying
y + -1x = m(x + -1p)

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

Reorder the terms:
-1x + y = m(-1p + x)
-1x + y = (-1p * m + x * m)
-1x + y = (-1mp + mx)

Solving
-1x + y = -1mp + 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.
-1x + -1mx + y = -1mp + mx + -1mx

Reorder the terms:
-1mx + -1x + y = -1mp + mx + -1mx

Combine like terms: mx + -1mx = 0
-1mx + -1x + y = -1mp + 0
-1mx + -1x + y = -1mp

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

Combine like terms: y + -1y = 0
-1mx + -1x + 0 = -1mp + -1y
-1mx + -1x = -1mp + -1y

Reorder the terms:
mp + -1mx + -1x + y = -1mp + -1y + mp + y

Reorder the terms:
mp + -1mx + -1x + y = -1mp + mp + -1y + y

Combine like terms: -1mp + mp = 0
mp + -1mx + -1x + y = 0 + -1y + y
mp + -1mx + -1x + y = -1y + y

Combine like terms: -1y + y = 0
mp + -1mx + -1x + y = 0

The solution to this equation could not be determined.

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