5a+3b=2b+a

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Solution for 5a+3b=2b+a equation:


Simplifying
5a + 3b = 2b + a

Reorder the terms:
5a + 3b = a + 2b

Solving
5a + 3b = a + 2b

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.
5a + -1a + 3b = a + -1a + 2b

Combine like terms: 5a + -1a = 4a
4a + 3b = a + -1a + 2b

Combine like terms: a + -1a = 0
4a + 3b = 0 + 2b
4a + 3b = 2b

Add '-3b' to each side of the equation.
4a + 3b + -3b = 2b + -3b

Combine like terms: 3b + -3b = 0
4a + 0 = 2b + -3b
4a = 2b + -3b

Combine like terms: 2b + -3b = -1b
4a = -1b

Divide each side by '4'.
a = -0.25b

Simplifying
a = -0.25b

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