3(ax+b)=(ax-b)

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

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

Remove parenthesis around (ax + -1b)
3ax + 3b = ax + -1b

Solving
3ax + 3b = ax + -1b

Solving for variable 'a'.

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

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

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

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

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

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

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

Divide each side by '2x'.
a = -2bx-1

Simplifying
a = -2bx-1