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

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

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

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

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

Solving
2 + 5ax = -6a + 2ax

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
2 + 6a + 5ax = -6a + 6a + 2ax

Combine like terms: -6a + 6a = 0
2 + 6a + 5ax = 0 + 2ax
2 + 6a + 5ax = 2ax

Add '-2ax' to each side of the equation.
2 + 6a + 5ax + -2ax = 2ax + -2ax

Combine like terms: 5ax + -2ax = 3ax
2 + 6a + 3ax = 2ax + -2ax

Combine like terms: 2ax + -2ax = 0
2 + 6a + 3ax = 0

Add '-2' to each side of the equation.
2 + 6a + -2 + 3ax = 0 + -2

Reorder the terms:
2 + -2 + 6a + 3ax = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 6a + 3ax = 0 + -2
6a + 3ax = 0 + -2

Combine like terms: 0 + -2 = -2
6a + 3ax = -2

Reorder the terms:
2 + 6a + 3ax = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 6a + 3ax = 0

The solution to this equation could not be determined.