The equation is – 6.5 = x – 0.54.

Apply addition property of equality: Add 0.54 to each side.

                 (Apply additive inverse property: )

                       (Apply additive identity property: )

                                (Add: )

Check:

To check the solution, substitute x =  – 5.96 in original equation.

 – 6.5 = x – 0.54– 6.5 = – 5.96 – 0.54

  – 6.5 = – 6.5                    (Subtract: – 5.96 – 0.54= – 6.5)

The statement is true.

To graph the solution on the number line:

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• First draw the number line
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• Mark a dot at –5.96 on the number line
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The value of x = – 5.96.