5a(x+2)-10a=3(ax+6)

Solution for 5a(x+2)-10a=3(ax+6) equation:

Simplifying
5a(x + 2) + -10a = 3(ax + 6)

Reorder the terms:
5a(2 + x) + -10a = 3(ax + 6)
(2 * 5a + x * 5a) + -10a = 3(ax + 6)
(10a + 5ax) + -10a = 3(ax + 6)

Reorder the terms:
10a + -10a + 5ax = 3(ax + 6)

Combine like terms: 10a + -10a = 0
0 + 5ax = 3(ax + 6)
5ax = 3(ax + 6)

Reorder the terms:
5ax = 3(6 + ax)
5ax = (6 * 3 + ax * 3)
5ax = (18 + 3ax)

Solving
5ax = 18 + 3ax

Solving for variable 'a'.

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

Add '-3ax' to each side of the equation.
5ax + -3ax = 18 + 3ax + -3ax

Combine like terms: 5ax + -3ax = 2ax
2ax = 18 + 3ax + -3ax

Combine like terms: 3ax + -3ax = 0
2ax = 18 + 0
2ax = 18

Divide each side by '2x'.
a = 9x-1

Simplifying
a = 9x-1