Question

Solve for x and justify your steps by stating the reason/property

Answer 1

Solve for x:

`2=2+3(2x-4)`
`\begin{gathered} (1)Multiply\text{ the parenthesis by 3} \\ 2=2+6x-12 \\ \text{Distributive property of multiplication} \end{gathered}`
`\begin{gathered} (2)Collect\text{ like terms on the right side} \\ 2=6x+2-12 \\ 2=6x-10 \\ \text{Collect like terms} \end{gathered}`
`\begin{gathered} (3)\text{Add 10 to both sides of the equation} \\ 2+10=6x-10+10 \\ 12=6x \\ Addition\text{ prop}erty\text{ of equality} \end{gathered}`
`\begin{gathered} (4)\text{Divide both sides by 6} \\ (12)/(6)=(6x)/(6) \\ 2=x \\ Division\text{ property of equality} \end{gathered}`

ANSWER:

The answer is x equals 2