3b+2a=5a-6

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Solution for 3b+2a=5a-6 equation:


Simplifying
3b + 2a = 5a + -6

Reorder the terms:
2a + 3b = 5a + -6

Reorder the terms:
2a + 3b = -6 + 5a

Solving
2a + 3b = -6 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
2a + -5a + 3b = -6 + 5a + -5a

Combine like terms: 2a + -5a = -3a
-3a + 3b = -6 + 5a + -5a

Combine like terms: 5a + -5a = 0
-3a + 3b = -6 + 0
-3a + 3b = -6

Add '-3b' to each side of the equation.
-3a + 3b + -3b = -6 + -3b

Combine like terms: 3b + -3b = 0
-3a + 0 = -6 + -3b
-3a = -6 + -3b

Divide each side by '-3'.
a = 2 + b

Simplifying
a = 2 + b

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