Answer:
x = -13
Step-by-step explanation:
Find LCM for 5 , 10. LCM of 5 , 10= 10
[tex]\frac{x-3}{5}-\frac{x+1}{10}= -2\\\\\frac{(x-3)*2}{5*2}-\frac{x+1}{10}=-2\\\\\\\frac{2x-6}{10}-\frac{x+1}{10}\\\\\\\frac{2x - 6 - (x+1)}{10}= -2\\\\\\\frac{2x - 6 - x -1}{10} = -2\\\\\\\frac{2x -x - 6 - 1}{10} = -2 \\\\\\\frac{x - 7}{10} = -2\\\\\[/tex]
Cross multiply,
x - 7 = -2 * 10
x - 7 = -20
x = -20 + 7
x = -13
