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Sagot :
To determine which equation is true, let's replace "x" with "12" in each equation and solve.
Let's start with Option A.
[tex]\begin{gathered} -27+2(12)=51 \\ -27+24=51 \\ -3\ne51 \end{gathered}[/tex]For Option A, at x = 12, the value is not equal to 51 hence, Equation A is not true.
For Option B:
[tex]\begin{gathered} 5(x+7)=45 \\ 5(12+7)=45 \\ 5(19)=45 \\ 95\ne45 \\ \end{gathered}[/tex]As we can see, Option B is not also true.
Let's check Option C.
[tex]\begin{gathered} 3(25)-x=39 \\ 3(25)-12=39 \\ 75-12=39 \\ 63\ne39 \end{gathered}[/tex]Option C is also not true.
Let's check Option D.
[tex]\begin{gathered} 3(25-x)=39 \\ 3(25-12)=39 \\ 3(13)=39 \\ 39=39 \end{gathered}[/tex]As we can see, at x = 12, Equation D is equal to 39. Hence, Equation D is true.
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