To solve the equation \( 8x - 5 = 3x + 20 \), follow these steps:
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First, get all terms involving \( x \) on one side of the equation and constant terms on the other. We can subtract \( 3x \) from both sides:
\[ 8x - 3x - 5 = 20 \]
This simplifies to:
\[ 5x - 5 = 20 \]
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Next, add 5 to both sides to isolate the term with \( x \):
\[ 5x = 20 + 5 \]
Which simplifies to:
\[ 5x = 25 \]
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Finally, divide both sides by 5 to solve for \( x \):
\[ x = \frac{25}{5} \]
Thus,
\[ x = 5 \]
The solution is \( x = 5 \).