(R+S)+T=R+(S+R)

Solution for (R+S)+T=R+(S+R) equation:

Simplifying
(R + S) + T = R + (S + R)

Remove parenthesis around (R + S)
R + S + T = R + (S + R)

Reorder the terms:
R + S + T = R + (R + S)

Remove parenthesis around (R + S)
R + S + T = R + R + S

Combine like terms: R + R = 2R
R + S + T = 2R + S

Add '-1S' to each side of the equation.
R + S + -1S + T = 2R + S + -1S

Combine like terms: S + -1S = 0
R + 0 + T = 2R + S + -1S
R + T = 2R + S + -1S

Combine like terms: S + -1S = 0
R + T = 2R + 0
R + T = 2R

Solving
R + T = 2R

Solving for variable 'R'.

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

Add '-2R' to each side of the equation.
R + -2R + T = 2R + -2R

Combine like terms: R + -2R = -1R
-1R + T = 2R + -2R

Combine like terms: 2R + -2R = 0
-1R + T = 0

Add '-1T' to each side of the equation.
-1R + T + -1T = 0 + -1T

Combine like terms: T + -1T = 0
-1R + 0 = 0 + -1T
-1R = 0 + -1T
Remove the zero:
-1R = -1T

Divide each side by '-1'.
R = T

Simplifying
R = T