The solution to the equation 9x = 3x - 36 is x = -6. After subtracting 3x and dividing by 6, the isolated variable yields a solution of x = -6.
To solve the equation 9x = 3x - 36, first, subtract 3x from both sides to obtain 6x = -36.
Next, divide both sides by 6, yielding x = -6.
Therefore, the solution to the equation is x = -6.
This indicates that when x is equal to -6, the equation is satisfied, making both sides equal.
The process involves isolating x by performing inverse operations.
Checking the solution by substituting -6 for x in the original equation confirms its validity, as 9(-6) equals 3(-6) - 36, verifying the equality.