2b+a=3a-b

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


Simplifying
2b + a = 3a + -1b

Reorder the terms:
a + 2b = 3a + -1b

Solving
a + 2b = 3a + -1b

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
a + -3a + 2b = 3a + -3a + -1b

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

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

Add '-2b' to each side of the equation.
-2a + 2b + -2b = -1b + -2b

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

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

Divide each side by '-2'.
a = 1.5b

Simplifying
a = 1.5b

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