Question

For which equation would x = 12 be a solution?x - 12 = 12x - 24 = 12x - 14 = 2x - 5 = 7

Answer 1

Explanation

We are required to solve each equation till we arrive at the one that satisfies the "x=12" question.

First equation:

`\begin{gathered} x-12=12 \\ Collect\text{ like terms} \\ x=12+12 \\ x=24 \end{gathered}`

Second equation:

`\begin{gathered} x-24=12 \\ Collect\text{ like terms} \\ x=12+24 \\ x=36 \end{gathered}`

Third equation:

`\begin{gathered} x-14=2 \\ Collect\text{ like terms} \\ x=2+14 \\ x=16 \end{gathered}`

Last equation:

`\begin{gathered} x-5=7 \\ Collect\text{ like terms} \\ x=7+5 \\ x=12 \end{gathered}`

Hence, the last equation is the solution.