ax+bx+d=c

Solution for ax+bx+d=c equation:

Simplifying
ax + bx + d = c

Solving
ax + bx + d = c

Solving for variable 'a'.

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

Add '-1bx' to each side of the equation.
ax + bx + -1bx + d = -1bx + c

Combine like terms: bx + -1bx = 0
ax + 0 + d = -1bx + c
ax + d = -1bx + c

Add '-1d' to each side of the equation.
ax + d + -1d = -1bx + c + -1d

Combine like terms: d + -1d = 0
ax + 0 = -1bx + c + -1d
ax = -1bx + c + -1d

Divide each side by 'x'.
a = -1b + cx-1 + -1dx-1

Simplifying
a = -1b + cx-1 + -1dx-1