If \((9-3x)-(17x-10)=1\), the value of \(x\) is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(\frac{9}{10}\)
The minus sign before the second bracket changes the sign of every term inside it: \(-(17x-10)=-17x+10\). The like terms are then collected and the linear equation solved.
\(9-3x-17x+10=1\)
\(19-20x=1\)
\(20x=18\)
\(\displaystyle x=\frac{18}{20}=\frac{9}{10}\)