3(a+b)=a-b

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Solution for 3(a+b)=a-b equation:


Simplifying
3(a + b) = a + -1b
(a * 3 + b * 3) = a + -1b
(3a + 3b) = a + -1b

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

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 + 3b = a + -1a + -1b

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

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

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

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

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

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

Simplifying
a = -2b

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