(2a-3b)-(5a-7b)=0

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Solution for (2a-3b)-(5a-7b)=0 equation:


Simplifying
(2a + -3b) + -1(5a + -7b) = 0

Remove parenthesis around (2a + -3b)
2a + -3b + -1(5a + -7b) = 0
2a + -3b + (5a * -1 + -7b * -1) = 0
2a + -3b + (-5a + 7b) = 0

Reorder the terms:
2a + -5a + -3b + 7b = 0

Combine like terms: 2a + -5a = -3a
-3a + -3b + 7b = 0

Combine like terms: -3b + 7b = 4b
-3a + 4b = 0

Solving
-3a + 4b = 0

Solving for variable 'a'.

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

Add '-4b' to each side of the equation.
-3a + 4b + -4b = 0 + -4b

Combine like terms: 4b + -4b = 0
-3a + 0 = 0 + -4b
-3a = 0 + -4b
Remove the zero:
-3a = -4b

Divide each side by '-3'.
a = 1.333333333b

Simplifying
a = 1.333333333b

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