To solve the equation \( 25x + 4 = 15 \), we will isolate \( x \). Here are the steps:
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Subtract 4 from both sides:
\[ 25x + 4 - 4 = 15 - 4 \] \[ 25x = 11 \]
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Now, divide both sides by 25:
\[ x = \frac{11}{25} \]
Since none of the provided options seem to match \( \frac{11}{25} \), it looks like there may have been an error in the question. However, based on your options:
- \( -\frac{38}{25} \)
- \( -\frac{19}{2} \)
- \( \frac{21}{2} \)
- \( -219 \)
None of these are equivalent to \( \frac{11}{25} \).
Please check the equation or the options provided, as the solution to \( 25x + 4 = 15 \) yields \( \frac{11}{25} \).