The value of 'x' in \(8x+\frac{5}{7}=12x-\frac{3}{5}\) is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\frac{23}{70}\)
The \(x\) terms are brought to one side and the numbers to the other; the two fractions are then added over the common denominator 35.
\(x\) terms on one side: \(\displaystyle 12x-8x=\frac{5}{7}+\frac{3}{5}\)
\(\displaystyle 4x=\frac{25+21}{35}=\frac{46}{35}\)
\(\displaystyle x=\frac{46}{140}=\frac{23}{70}\)