a(x-3)+c(x+k)=1

Solution for a(x-3)+c(x+k)=1 equation:

Simplifying
a(x + -3) + c(x + k) = 1

Reorder the terms:
a(-3 + x) + c(x + k) = 1
(-3 * a + x * a) + c(x + k) = 1
(-3a + ax) + c(x + k) = 1

Reorder the terms:
-3a + ax + c(k + x) = 1
-3a + ax + (k * c + x * c) = 1
-3a + ax + (ck + cx) = 1

Solving
-3a + ax + ck + cx = 1

Solving for variable 'a'.

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

Add '-1ck' to each side of the equation.
-3a + ax + ck + -1ck + cx = 1 + -1ck

Combine like terms: ck + -1ck = 0
-3a + ax + 0 + cx = 1 + -1ck
-3a + ax + cx = 1 + -1ck

Add '-1cx' to each side of the equation.
-3a + ax + cx + -1cx = 1 + -1ck + -1cx

Combine like terms: cx + -1cx = 0
-3a + ax + 0 = 1 + -1ck + -1cx
-3a + ax = 1 + -1ck + -1cx

Reorder the terms:
-1 + -3a + ax + ck + cx = 1 + -1ck + -1cx + -1 + ck + cx

Reorder the terms:
-1 + -3a + ax + ck + cx = 1 + -1 + -1ck + ck + -1cx + cx

Combine like terms: 1 + -1 = 0
-1 + -3a + ax + ck + cx = 0 + -1ck + ck + -1cx + cx
-1 + -3a + ax + ck + cx = -1ck + ck + -1cx + cx

Combine like terms: -1ck + ck = 0
-1 + -3a + ax + ck + cx = 0 + -1cx + cx
-1 + -3a + ax + ck + cx = -1cx + cx

Combine like terms: -1cx + cx = 0
-1 + -3a + ax + ck + cx = 0

The solution to this equation could not be determined.