2ax+3=5(ax-3b)

Solution for 2ax+3=5(ax-3b) equation:

Simplifying
2ax + 3 = 5(ax + -3b)

Reorder the terms:
3 + 2ax = 5(ax + -3b)
3 + 2ax = (ax * 5 + -3b * 5)
3 + 2ax = (5ax + -15b)

Solving
3 + 2ax = 5ax + -15b

Solving for variable 'a'.

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

Add '-5ax' to each side of the equation.
3 + 2ax + -5ax = 5ax + -5ax + -15b

Combine like terms: 2ax + -5ax = -3ax
3 + -3ax = 5ax + -5ax + -15b

Combine like terms: 5ax + -5ax = 0
3 + -3ax = 0 + -15b
3 + -3ax = -15b

Add '-3' to each side of the equation.
3 + -3 + -3ax = -3 + -15b

Combine like terms: 3 + -3 = 0
0 + -3ax = -3 + -15b
-3ax = -3 + -15b

Divide each side by '-3x'.
a = x-1 + 5bx-1

Simplifying
a = x-1 + 5bx-1

Reorder the terms:
a = 5bx-1 + x-1