Question

Solve the equation:
$5x+2\frac{3}{5}=9-\frac{4}{5}x$

Answer 1

Given equation is $5x+2\frac{3}{5}=9-\frac{4}{5}x$

Transposing the variable terms on one side and the constant terms on the other, we get:

$5x+\frac{4}{5}x=9-2\frac{3}{5}$

$\Rightarrow 5x+\frac{4x}{5}=9-\frac{13}{5}$

$\Rightarrow \frac{25x+4x}{5}=\frac{45-13}{5}$

$\Rightarrow 29x=32$

$x=\frac{32}{29}$

Hence, the solution of the given equation is $x=\frac{32}{29}$.