5(5a-b)-5(7b-5a)=

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Solution for 5(5a-b)-5(7b-5a)= equation:


Simplifying
5(5a + -1b) + -5(7b + -5a) = 0
(5a * 5 + -1b * 5) + -5(7b + -5a) = 0
(25a + -5b) + -5(7b + -5a) = 0

Reorder the terms:
25a + -5b + -5(-5a + 7b) = 0
25a + -5b + (-5a * -5 + 7b * -5) = 0
25a + -5b + (25a + -35b) = 0

Reorder the terms:
25a + 25a + -5b + -35b = 0

Combine like terms: 25a + 25a = 50a
50a + -5b + -35b = 0

Combine like terms: -5b + -35b = -40b
50a + -40b = 0

Solving
50a + -40b = 0

Solving for variable 'a'.

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

Add '40b' to each side of the equation.
50a + -40b + 40b = 0 + 40b

Combine like terms: -40b + 40b = 0
50a + 0 = 0 + 40b
50a = 0 + 40b
Remove the zero:
50a = 40b

Divide each side by '50'.
a = 0.8b

Simplifying
a = 0.8b

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