ax+6=5(x-a)

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

Simplifying
ax + 6 = 5(x + -1a)

Reorder the terms:
6 + ax = 5(x + -1a)

Reorder the terms:
6 + ax = 5(-1a + x)
6 + ax = (-1a * 5 + x * 5)
6 + ax = (-5a + 5x)

Solving
6 + ax = -5a + 5x

Solving for variable 'a'.

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

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

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

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

Reorder the terms:
6 + -6 + 5a + ax = -6 + 5x

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

Reorder the terms:
6 + 5a + ax + -5x = -6 + 5x + 6 + -5x

Reorder the terms:
6 + 5a + ax + -5x = -6 + 6 + 5x + -5x

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

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

The solution to this equation could not be determined.