1=(rx+sx)+t

Solution for 1=(rx+sx)+t equation:

Simplifying
1 = (rx + sx) + t

Remove parenthesis around (rx + sx)
1 = rx + sx + t

Solving
1 = rx + sx + t

Solving for variable 'r'.

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

Add '-1rx' to each side of the equation.
1 + -1rx = rx + sx + -1rx + t

Reorder the terms:
1 + -1rx = rx + -1rx + sx + t

Combine like terms: rx + -1rx = 0
1 + -1rx = 0 + sx + t
1 + -1rx = sx + t

Add '-1' to each side of the equation.
1 + -1 + -1rx = sx + -1 + t

Combine like terms: 1 + -1 = 0
0 + -1rx = sx + -1 + t
-1rx = sx + -1 + t

Reorder the terms:
-1rx = -1 + sx + t

Divide each side by '-1x'.
r = x-1 + -1s + -1tx-1

Simplifying
r = x-1 + -1s + -1tx-1

Reorder the terms:
r = -1s + -1tx-1 + x-1