Question

Solve for $x$: $(3x-2)=\frac{4}{5}(2x-3)+\frac{86}{15}$.

• A. $\frac{40}{21}$
• B. $\frac{80}{21}$
• C. $\frac{21}{80}$
• D. $\frac{56}{21}$

Answer 1

The correct option is B $\frac{80}{21}$

Given, $(3x-2)=\frac{4}{5}(2x-3)+\frac{86}{15}$

$\Rightarrow 15(3x-2)=12(2x-3)+86$ ...[Multiplying $15$ on both sides]

$\Rightarrow 45x-30=24x-36+86$ ...[By Distribution Law]

$\Rightarrow 21x=80$ ...[Transposing $x$ terms to one side and simplifying]

$\Rightarrow x=\frac{80}{21}$.

Hence, option $B$ is correct.