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

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

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

Multiply b * c
a + bc = a + (c) * b

Multiply c * b
a + bc = a + bc

Add '-1a' to each side of the equation.
a + -1a + bc = a + -1a + bc

Combine like terms: a + -1a = 0
0 + bc = a + -1a + bc
bc = a + -1a + bc

Combine like terms: a + -1a = 0
bc = 0 + bc
bc = bc

Add '-1bc' to each side of the equation.
bc + -1bc = bc + -1bc

Combine like terms: bc + -1bc = 0
0 = bc + -1bc

Combine like terms: bc + -1bc = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.