Answer:
[tex]\begin{array}{lll}1.&x+12.7=-25.5&\text{given}\\2.&x+12.7-12.7=-25.2-12.7& \text{subtraction property of equality}\\3.&x+0=-37.9&\text{additive inverse/simplification}\\4.&x=-37.9&\text{identity property of addition}\end{array}[/tex]
Step-by-step explanation:
Solve the equation [tex]x+12.7=-25.2[/tex]
1. [tex]x+12.7=-25.2[/tex] - given
2. Subtract 12.7 from both sides:
[tex]x+12.7-12.7=-25.2-12.7[/tex] - subtraction property of equality
3. Since [tex]12.7-12.7=0[/tex] and [tex]-25.2-12.7=-37.9,[/tex] we have
[tex]x+0=-37.9[/tex] - additive inverse/simplification
4. Since [tex]x+0=x,[/tex] we have
[tex]x=-37.9[/tex] - identity property of addition.
