3(ax+b)=2(ax-b)

Solution for 3(ax+b)=2(ax-b) equation:

Simplifying
3(ax + b) = 2(ax + -1b)
(ax * 3 + b * 3) = 2(ax + -1b)
(3ax + 3b) = 2(ax + -1b)
3ax + 3b = (ax * 2 + -1b * 2)
3ax + 3b = (2ax + -2b)

Solving
3ax + 3b = 2ax + -2b

Solving for variable 'a'.

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

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

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

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

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

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

Combine like terms: -2b + -3b = -5b
1ax = -5b

Divide each side by '1x'.
a = -5bx-1

Simplifying
a = -5bx-1