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58(x+12)=100

Correctly order the steps used to solve this equation.

1 answer

To solve the equation \( 58(x + 12) = 100 \), follow these steps in order:

  1. Distribute: Distribute 58 to both \( x \) and 12 inside the parentheses. \[ 58x + 696 = 100 \]

  2. Subtract 696 from both sides: Isolate the term with \( x \) by moving 696 to the right side of the equation. \[ 58x = 100 - 696 \] \[ 58x = -596 \]

  3. Divide by 58: Solve for \( x \) by dividing both sides by 58. \[ x = \frac{-596}{58} \]

  4. Simplify: Calculate the right side to find the value of \( x \). \[ x = -10.276 \]

So, the correct order of steps to solve the equation \( 58(x + 12) = 100 \) is:

  1. Distribute \( 58 \) to \( (x + 12) \).
  2. Subtract \( 696 \) from both sides.
  3. Divide by \( 58 \).
  4. Simplify the fraction to find \( x \).