3a=c-a(b-d)

Solution for 3a=c-a(b-d) equation:

Simplifying
3a = c + -1a(b + -1d)
3a = c + (b * -1a + -1d * -1a)
3a = c + (-1ab + 1ad)

Reorder the terms:
3a = -1ab + 1ad + c

Solving
3a = -1ab + 1ad + c

Solving for variable 'a'.

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

Add 'ab' to each side of the equation.
3a + ab = -1ab + 1ad + ab + c

Reorder the terms:
3a + ab = -1ab + ab + 1ad + c

Combine like terms: -1ab + ab = 0
3a + ab = 0 + 1ad + c
3a + ab = 1ad + c

Add '-1ad' to each side of the equation.
3a + ab + -1ad = 1ad + -1ad + c

Combine like terms: 1ad + -1ad = 0
3a + ab + -1ad = 0 + c
3a + ab + -1ad = c

Combine like terms: c + -1c = 0
3a + ab + -1ad + -1c = 0

The solution to this equation could not be determined.