Answer:
120
Explanation:
We start with the equation:
![(1)/(3)x-(3)/(8)x -(7)/(24)x =-40](https://img.qammunity.org/2023/formulas/mathematics/high-school/j2c23f4jj87f86od4io3kinuxwrvujrvwz.png)
We need to set the fractions into equal denominations so we can sum them all together:
![(8)/(24)x-(9)/(24)x -(7)/(24)x =-40\\](https://img.qammunity.org/2023/formulas/mathematics/high-school/ylo9liif77j6dibguwap9ml2qcb91m1vb9.png)
Now sum the fractions:
![(8-9-7)/(24)x=-40\\\\ (-8)/(24)x=-40](https://img.qammunity.org/2023/formulas/mathematics/high-school/8zlfa9ry5u1pzpa3csqjfg0eugyrhpv893.png)
Multiple both sides by 24 to eliminate denominator on left side of equation:
![-8x=-960](https://img.qammunity.org/2023/formulas/mathematics/high-school/66nn7y5o0fzjx1csf587u5e2f6zkhnvlfa.png)
Divide both sides by -8 to get the value of x:
![x=120](https://img.qammunity.org/2023/formulas/mathematics/college/zngja2ule9v1f1j0bilittqkiolz7v7tpv.png)