5a+(5b-2a)=a-5b

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Solution for 5a+(5b-2a)=a-5b equation:


Simplifying
5a + (5b + -2a) = a + -5b

Reorder the terms:
5a + (-2a + 5b) = a + -5b

Remove parenthesis around (-2a + 5b)
5a + -2a + 5b = a + -5b

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

Solving
3a + 5b = a + -5b

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
3a + -1a + 5b = a + -1a + -5b

Combine like terms: 3a + -1a = 2a
2a + 5b = a + -1a + -5b

Combine like terms: a + -1a = 0
2a + 5b = 0 + -5b
2a + 5b = -5b

Add '-5b' to each side of the equation.
2a + 5b + -5b = -5b + -5b

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

Combine like terms: -5b + -5b = -10b
2a = -10b

Divide each side by '2'.
a = -5b

Simplifying
a = -5b

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