$$\frac { 5 } { 6 } ( \frac { 1 } { 3 } x - \frac { 1 } { 5 } ) = 3 x + 3 \frac { 1 } { 3 }$$
$x = -\frac{9}{7} = -1\frac{2}{7} \approx -1.285714286$
$$25\left(\frac{1}{3}x-\frac{1}{5}\right)=90x+10\left(3\times 3+1\right)$$
$$25\times \frac{1}{3}x+25\left(-\frac{1}{5}\right)=90x+10\left(3\times 3+1\right)$$
$$\frac{25}{3}x+25\left(-\frac{1}{5}\right)=90x+10\left(3\times 3+1\right)$$
$$\frac{25}{3}x+\frac{25\left(-1\right)}{5}=90x+10\left(3\times 3+1\right)$$
$$\frac{25}{3}x+\frac{-25}{5}=90x+10\left(3\times 3+1\right)$$
$$\frac{25}{3}x-5=90x+10\left(3\times 3+1\right)$$
$$\frac{25}{3}x-5=90x+10\left(9+1\right)$$
$$\frac{25}{3}x-5=90x+10\times 10$$
$$\frac{25}{3}x-5=90x+100$$
$$\frac{25}{3}x-5-90x=100$$
$$-\frac{245}{3}x-5=100$$
$$-\frac{245}{3}x=100+5$$
$$-\frac{245}{3}x=105$$
$$x=105\left(-\frac{3}{245}\right)$$
$$x=\frac{105\left(-3\right)}{245}$$
$$x=\frac{-315}{245}$$
$$x=-\frac{9}{7}$$
Show Solution
Hide Solution
