To solve the equation \( x - \frac{7}{8} = -5 \), you need to isolate \( x \). To do this, you can add \(\frac{7}{8}\) to both sides of the equation.
Here’s how it looks step-by-step:
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Start with the equation: \[ x - \frac{7}{8} = -5 \]
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Add \(\frac{7}{8}\) to both sides: \[ x - \frac{7}{8} + \frac{7}{8} = -5 + \frac{7}{8} \]
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This simplifies to: \[ x = -5 + \frac{7}{8} \]
To further simplify the right side, convert \(-5\) into a fraction with a denominator of 8: \[ -5 = -\frac{40}{8} \] So, \[ x = -\frac{40}{8} + \frac{7}{8} = \frac{-40 + 7}{8} = \frac{-33}{8} \]
Thus, the value of \( x \) is: \[ x = -\frac{33}{8} \]
In conclusion, to solve for \( x \), you should add \(\frac{7}{8}\) to both sides of the equation.