3(8a-b)-5(5b-5a)=

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Solution for 3(8a-b)-5(5b-5a)= equation:


Simplifying
3(8a + -1b) + -5(5b + -5a) = 0
(8a * 3 + -1b * 3) + -5(5b + -5a) = 0
(24a + -3b) + -5(5b + -5a) = 0

Reorder the terms:
24a + -3b + -5(-5a + 5b) = 0
24a + -3b + (-5a * -5 + 5b * -5) = 0
24a + -3b + (25a + -25b) = 0

Reorder the terms:
24a + 25a + -3b + -25b = 0

Combine like terms: 24a + 25a = 49a
49a + -3b + -25b = 0

Combine like terms: -3b + -25b = -28b
49a + -28b = 0

Solving
49a + -28b = 0

Solving for variable 'a'.

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

Add '28b' to each side of the equation.
49a + -28b + 28b = 0 + 28b

Combine like terms: -28b + 28b = 0
49a + 0 = 0 + 28b
49a = 0 + 28b
Remove the zero:
49a = 28b

Divide each side by '49'.
a = 0.5714285714b

Simplifying
a = 0.5714285714b

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