(a+3)*b=2(a+b)

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Solution for (a+3)*b=2(a+b) equation:


Simplifying
(a + 3) * b = 2(a + b)

Reorder the terms:
(3 + a) * b = 2(a + b)

Reorder the terms for easier multiplication:
b(3 + a) = 2(a + b)
(3 * b + a * b) = 2(a + b)

Reorder the terms:
(ab + 3b) = 2(a + b)
(ab + 3b) = 2(a + b)
ab + 3b = (a * 2 + b * 2)
ab + 3b = (2a + 2b)

Solving
ab + 3b = 2a + 2b

Solving for variable 'a'.

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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