(Y-7)=m(x-5)

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Solution for (Y-7)=m(x-5) equation:


Simplifying
(Y + -7) = m(x + -5)

Reorder the terms:
(-7 + Y) = m(x + -5)

Remove parenthesis around (-7 + Y)
-7 + Y = m(x + -5)

Reorder the terms:
-7 + Y = m(-5 + x)
-7 + Y = (-5 * m + x * m)
-7 + Y = (-5m + mx)

Solving
-7 + Y = -5m + mx

Solving for variable 'Y'.

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

Add '7' to each side of the equation.
-7 + 7 + Y = -5m + 7 + mx

Combine like terms: -7 + 7 = 0
0 + Y = -5m + 7 + mx
Y = -5m + 7 + mx

Reorder the terms:
Y = 7 + -5m + mx

Simplifying
Y = 7 + -5m + mx

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