Question

1. \\(\frac{x - 7}{2} + \frac{2x - 1}{18} = -6\\)

Explanation:

Step1: Eliminate denominators by multiplying both sides by 18 (the least common multiple of 2 and 18).

$$18\times\frac{x - 7}{2}+18\times\frac{2x - 1}{18}=18\times(-6)$$
Simplify each term: \(9(x - 7)+(2x - 1)=-108\)

Step2: Expand the brackets.

\(9x - 63 + 2x - 1=-108\)

Step3: Combine like terms.

\(11x - 64=-108\)

Step4: Add 64 to both sides.

\(11x=-108 + 64\)
\(11x=-44\)

Step5: Divide both sides by 11.

\(x=\frac{-44}{11}\)
\(x = - 4\)

Answer:

\(x=-4\)