To solve the equation \( 18x - 3 = 2 \), we can start by isolating \( x \).
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Add 3 to both sides: \[ 18x - 3 + 3 = 2 + 3 \] \[ 18x = 5 \]
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Now, divide both sides by 18: \[ x = \frac{5}{18} \]
Now that we have \( x = \frac{5}{18} \), let's check which of the given equations has the same solution:
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Equation 1: \( x - 4 = 14 \) \[ x = 14 + 4 = 18 \quad \text{(not equal to } \frac{5}{18}\text{)} \]
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Equation 2: \( 2x - 3 = 18 \) \[ 2x = 18 + 3 = 21 \ x = \frac{21}{2} \quad \text{(not equal to } \frac{5}{18}\text{)} \]
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Equation 3: \( 2x - 6 = 18 \) \[ 2x = 18 + 6 = 24 \ x = \frac{24}{2} = 12 \quad \text{(not equal to } \frac{5}{18}\text{)} \]
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Equation 4: \( x - 318 = 2 \) \[ x = 2 + 318 = 320 \quad \text{(not equal to } \frac{5}{18}\text{)} \]
None of the equations provided are equivalent to the original equation \( 18x - 3 = 2 \) because they do not yield the same solution, \( x = \frac{5}{18} \).
Please double-check the options given or provide alternative equations if a mistake was made in the options listed.