3a(y-x)-5b(y-x)=

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Solution for 3a(y-x)-5b(y-x)= equation:


Simplifying
3a(y + -1x) + -5b(y + -1x) = 0

Reorder the terms:
3a(-1x + y) + -5b(y + -1x) = 0
(-1x * 3a + y * 3a) + -5b(y + -1x) = 0
(-3ax + 3ay) + -5b(y + -1x) = 0

Reorder the terms:
-3ax + 3ay + -5b(-1x + y) = 0
-3ax + 3ay + (-1x * -5b + y * -5b) = 0
-3ax + 3ay + (5bx + -5by) = 0

Solving
-3ax + 3ay + 5bx + -5by = 0

Solving for variable 'a'.

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

Add '-5bx' to each side of the equation.
-3ax + 3ay + 5bx + -5bx + -5by = 0 + -5bx

Combine like terms: 5bx + -5bx = 0
-3ax + 3ay + 0 + -5by = 0 + -5bx
-3ax + 3ay + -5by = 0 + -5bx
Remove the zero:
-3ax + 3ay + -5by = -5bx

Add '5by' to each side of the equation.
-3ax + 3ay + -5by + 5by = -5bx + 5by

Combine like terms: -5by + 5by = 0
-3ax + 3ay + 0 = -5bx + 5by
-3ax + 3ay = -5bx + 5by

Reorder the terms:
-3ax + 3ay + 5bx + -5by = -5bx + 5bx + 5by + -5by

Combine like terms: -5bx + 5bx = 0
-3ax + 3ay + 5bx + -5by = 0 + 5by + -5by
-3ax + 3ay + 5bx + -5by = 5by + -5by

Combine like terms: 5by + -5by = 0
-3ax + 3ay + 5bx + -5by = 0

The solution to this equation could not be determined.

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