To solve the equation \( 18x - 3 = 2 \):
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Add 3 to both sides: \[ 18x - 3 + 3 = 2 + 3 \] \[ 18x = 5 \]
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Divide both sides by 18: \[ x = \frac{5}{18} \]
Now that we've solved for \( x \), we need to determine which of the given equations has the same solution \( x = \frac{5}{18} \).
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Option 1: \( x - 3/18 = 2 \)
- Rearranging it, we can multiply both sides by 18 to eliminate the denominator: \[ 18 \left( x - \frac{3}{18} \right) = 36 \] \[ 18x - 3 = 36 \] \[ 18x = 39 \quad (not\ the\ same\ solution) \]
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Option 2: \( 2x - 3 = 18 \)
- Adding 3 to both sides gives: \[ 2x = 21 \]
- Dividing both sides by 2 gives: \[ x = \frac{21}{2} \quad (not\ the\ same\ solution) \]
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Option 3: \( 2x - 6 = 18 \)
- Adding 6 to both sides gives: \[ 2x = 24 \]
- Dividing both sides by 2 gives: \[ x = 12 \quad (not\ the\ same\ solution) \]
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Option 4: \( x - 4 = 14 \)
- Adding 4 to both sides gives: \[ x = 18 \quad (not\ the\ same\ solution) \]
None of the given options correspond to the solution of \( x = \frac{5}{18} \). However, upon reviewing our calculations, we can perform a check for any equivalent expressions.
Looking back, we find none of the given options yield \( x = \frac{5}{18} \). Please verify if you've provided all potential options.
1 answer