Answer/Step-by-step explanation:
To solve the given expression, [tex] x + 12.7 = -25.2 [/tex], the following steps as well as justification for each step is given below:
Step 1: state the given expression
[tex] x + 12.7 = -25.2 [/tex] (given)
Step 2: solve for x by subtracting 12.7 from each side of the equation.
[tex] x + 12.7 - 12.7 = -25.2 - 12.7 [/tex]
Step 3: Apply the additive inverse rule and simplify (i.e the additive inverse of 12.7 is -12.7. when added, it gives us 0)
[tex] x + 0 = -37.9 [/tex] (additive inverse/simplification)
Step 4: additive identity rule (i.e. the 0 added to x = 0)
[tex] x + 0 = -37.9 [/tex] (identity property of addition)
