(a+d)+c=a+(b+c)

Solution for (a+d)+c=a+(b+c) equation:

Simplifying
(a + d) + c = a + (b + c)

Remove parenthesis around (a + d)
a + d + c = a + (b + c)

Reorder the terms:
a + c + d = a + (b + c)

Remove parenthesis around (b + c)
a + c + d = a + b + c

Add '-1a' to each side of the equation.
a + c + -1a + d = a + b + -1a + c

Reorder the terms:
a + -1a + c + d = a + b + -1a + c

Combine like terms: a + -1a = 0
0 + c + d = a + b + -1a + c
c + d = a + b + -1a + c

Reorder the terms:
c + d = a + -1a + b + c

Combine like terms: a + -1a = 0
c + d = 0 + b + c
c + d = b + c

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

Combine like terms: c + -1c = 0
0 + d = b + c + -1c
d = b + c + -1c

Combine like terms: c + -1c = 0
d = b + 0
d = b

Solving
d = b

Solving for variable 'd'.

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

Simplifying
d = b