Solve for x:
x/729+7 = 216 x-9
Put each term in x/729+7 over the common denominator 729: x/729+7 = x/729+5103/729:
x/729+5103/729 = 216 x-9
x/729+5103/729 = (x+5103)/729:
(x+5103)/729 = 216 x-9
Multiply both sides by 729:
(729 (x+5103))/729 = 729 (216 x-9)
(729 (x+5103))/729 = 729/729×(x+5103) = x+5103:
x+5103 = 729 (216 x-9)
Expand out terms of the right hand side:
x+5103 = 157464 x-6561
Subtract 157464 x from both sides:
(x-157464 x)+5103 = (157464 x-157464 x)-6561
x-157464 x = -157463 x:
-157463 x+5103 = (157464 x-157464 x)-6561
157464 x-157464 x = 0:
5103-157463 x = -6561
Subtract 5103 from both sides:
(5103-5103)-157463 x = -6561-5103
5103-5103 = 0:
-157463 x = -6561-5103
-6561-5103 = -11664:
-157463 x = -11664
Divide both sides of -157463 x = -11664 by -157463:
(-157463 x)/(-157463) = (-11664)/(-157463)
(-157463)/(-157463) = 1:
x = (-11664)/(-157463)
The sign of (-11664)/(-157463) is positive, so (-11664)/(-157463) = 1×11664/157463:
Answer: | x = 11664/157463
