$$\frac{ x-1 }{ 2 } - \frac{ x-2 }{ 3 } - \frac{ x-3 }{ 4 } =- \frac{ x-5 }{ 5 }$$
$x=\frac{5}{7}\approx 0.714285714$
$$30\left(x-1\right)-20\left(x-2\right)-15\left(x-3\right)=-12\left(x-5\right)$$
$$30x-30-20\left(x-2\right)-15\left(x-3\right)=-12\left(x-5\right)$$
$$30x-30-20x+40-15\left(x-3\right)=-12\left(x-5\right)$$
$$10x-30+40-15\left(x-3\right)=-12\left(x-5\right)$$
$$10x+10-15\left(x-3\right)=-12\left(x-5\right)$$
$$10x+10-15x+45=-12\left(x-5\right)$$
$$-5x+10+45=-12\left(x-5\right)$$
$$-5x+55=-12\left(x-5\right)$$
$$-5x+55=-12x+60$$
$$-5x+55+12x=60$$
$$7x+55=60$$
$$7x=60-55$$
$$7x=5$$
$$x=\frac{5}{7}$$
Show Solution
Hide Solution
