Question

For each step write the property that has been applied

Answer 1

See explanation below

Step-by-step explanation:
`3(x\text{ - 4) -2(x - 3) = 6x - (-2 - x)}`
`\begin{gathered} Distributive\text{ property:} \\ 3x\text{ - 12 - 2x + 6 = 6x + 2 + x} \end{gathered}`
`\begin{gathered} \text{cummulative and associative properties of addition:} \\ 3x\text{ -2x - 12 +6 = 6x + x + 2} \end{gathered}`
`\begin{gathered} \text{simplify:} \\ 1x\text{ - 6 = 7x + 2} \end{gathered}`
`\begin{gathered} additive\text{ inverse:} \\ 1x\text{ - 7x - 6 = 7x }-\text{ 7x + 2} \end{gathered}`
`\begin{gathered} \text{simplify:} \\ -6x\text{ - 6 = 0x + 2} \\ \text{calculation:} \\ -6x\text{ - 6 = 2} \\ \end{gathered}`
`\begin{gathered} additive\text{ property:} \\ -6x\text{ - 6 + 6 = 2 + 6} \end{gathered}`
`\begin{gathered} calculation\colon \\ -6x\text{ + 0 = 8} \\ -6x\text{ = 8} \end{gathered}`
`\begin{gathered} \text{division property of }equality \\ (-6x)/(-6)=(8)/(-6)\text{ } \end{gathered}`
`\begin{gathered} \text{calculation:} \\ x\text{ =}\frac{-4}{3\text{ }} \end{gathered}`