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Solve using inverse operations. Use the sketch pad to show your work. If you prefer to show your work on paper, you can upload it at the end. You must show work

8(2m+3) =120

1 answer

To solve the equation \( 8(2m+3) = 120 \) using inverse operations, follow these steps:

  1. Divide both sides by 8 to isolate the expression within the parentheses: \[ \frac{8(2m+3)}{8} = \frac{120}{8} \] This simplifies to: \[ 2m+3 = 15 \]

  2. Subtract 3 from both sides to further isolate the term with \( m \): \[ 2m+3 - 3 = 15 - 3 \] This simplifies to: \[ 2m = 12 \]

  3. Divide both sides by 2 to solve for \( m \): \[ \frac{2m}{2} = \frac{12}{2} \] This simplifies to: \[ m = 6 \]

So, the solution to the equation \( 8(2m+3) = 120 \) is \( m = 6 \).

If you are interested, I could describe how to create a sketch pad representation of this work or how to set it up on paper to visually represent the calculations. Let me know how you'd like to proceed!