Solve for x.

Question

1 over 3(6x−9)=−33

Answer 1

To solve the equation, start by distributing the 3 to the terms inside the parentheses:

1/(18x-27) = -33

Next, multiply both sides of the equation by the denominator of the fraction (18x-27) to eliminate the fraction:

(18x-27) * (1/(18x-27)) = -33 * (18x-27)

This results in:

1 = -33 * (18x-27)

Simplifying the right side of the equation:

1 = -594x + 891

Move the constant term to the left side:

594x = 890

Finally, divide both sides of the equation by 594 to solve for x:

x = 890/594

x = 1.4966 (rounded to 4 decimal places)