Answer:
120
Step-by-step explanation:
We start with the equation:
[tex]\frac{1}{3}x-\frac{3}{8}x -\frac{7}{24}x =-40[/tex]
We need to set the fractions into equal denominations so we can sum them all together:
[tex]\frac{8}{24}x-\frac{9}{24}x -\frac{7}{24}x =-40\\[/tex]
Now sum the fractions:
[tex]\frac{8-9-7}{24}x=-40\\\\ \frac{-8}{24}x=-40[/tex]
Multiple both sides by 24 to eliminate denominator on left side of equation:
[tex]-8x=-960[/tex]
Divide both sides by -8 to get the value of x:
[tex]x=120[/tex]
