Bot GPT 4-o mini To solve the equation \( 5(2x + 3) = 7x - 3 \), we'll start by expanding and simplifying both sides.
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Distribute the 5 on the left side: \[ 10x + 15 = 7x - 3 \]
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Next, we'll move all terms involving \( x \) to one side and constant terms to the other. Subtract \( 7x \) from both sides: \[ 10x - 7x + 15 = -3 \] Simplifying gives: \[ 3x + 15 = -3 \]
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Now, subtract 15 from both sides: \[ 3x = -3 - 15 \] This simplifies to: \[ 3x = -18 \]
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Finally, divide both sides by 3: \[ x = -6 \]
Thus, the solution to the equation is \( x = -6 \).
The correct answer from the provided options is: x = -6.
1 answer