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Solve the equation: -3/8x - 5/56x + 1/7x = -72.

1 Answer

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Final answer:

To solve the equation, combine like terms on the left side, find common denominators for the fractions, and multiply both sides by the reciprocal of the combined fraction. The solution is x = 224.

Step-by-step explanation:

To solve the equation, we can combine like terms on the left side:

-3/8x - 5/56x + 1/7x = -72

Common denominators can be found for the fractions:

-21/56x - 5/56x + 8/56x = -72

Combining like terms gives:

-18/56x = -72

Now, we can multiply both sides of the equation by the reciprocal of -18/56, which is -56/18. This gives:

x = (-72) * (-56/18) = 224

Therefore, the solution to the equation is x = 224.

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