## Related questions with answers

Question

Solve each equation below. $\frac{5 x+4}{3}=\frac{2 x+1}{5}$

Solution

VerifiedStep 1

1 of 2The solution of the given algebraic equation is described below.

$\begin{align*} \dfrac{5x+4}{3}&=\dfrac{2x+1}{5}\tag{find the cross product}\\ 5(5x+4)&=3(2x+1)\\ 25x+20&=6x+3\tag{subtract $6x$ from both sides}\\ 25x+20-6x&=6x+3-6x\\ 19x+20&=3\tag{subtract $20$ from both sides}\\ 19x+20-20&=3-20\\ 19x&=-17\tag{divide both sides by $19$}\\ \dfrac{19x}{19}&=\dfrac{-17}{19}\\ x&=\dfrac{-17}{19} \end{align*}$

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