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What steps would you take in order to solve the equation 38 = 6x – 16?

subtract 16 and then divide by 6
multiply by 6 and add 16
add 16 and divide by 6
divide by 6 and add 16

1 answer

To solve the equation \(38 = 6x - 16\), you would follow these steps:

  1. Add 16 to both sides of the equation to isolate the term with \(x\): \[ 38 + 16 = 6x \] This simplifies to: \[ 54 = 6x \]

  2. Divide both sides by 6 to solve for \(x\): \[ x = \frac{54}{6} \] This simplifies to: \[ x = 9 \]

So, the correct series of operations to solve the equation is add 16 and then divide by 6.