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Solve the following equation. Show all your work.

21.3=x+5.1
6th grade words

1 answer

To solve the equation \(21.3 = x + 5.1\), we need to find the value of \(x\).

  1. Start with the equation: \[ 21.3 = x + 5.1 \]

  2. Get \(x\) by itself: To do this, we need to remove \(5.1\) from the right side of the equation. We can do this by subtracting \(5.1\) from both sides of the equation.

  3. Subtract \(5.1\) from both sides: \[ 21.3 - 5.1 = x + 5.1 - 5.1 \]

  4. Calculate the left side: To subtract \(5.1\) from \(21.3\), we can line up the numbers like this:

      21.3
-  5.1
------

    If we subtract:

    • From the tenths place: \(3 - 1 = 2\)
    • From the units place: \(21 - 5 = 16\)

    So, \(21.3 - 5.1 = 16.2\).

  5. Now the equation looks like this: \[ 16.2 = x \]

  6. Putting it all together: We found that \(x = 16.2\).

Final answer: \[ x = 16.2 \]