Question

Nadine tried to solve the equation 12x - 19 equals -4 (3 x - 9) - 15 but made a mistake which line shows evidence of Nadines mistake

Answer 1

Line 4

Step-by-step explanation:

The initial expression is:

12x - 19 = -4(3x - 9) - 15

The mistake was made on line 4, the correct steps to solve the expression are:

`\begin{gathered} 12x-19=-4(3x-9)-15 \\ 12x-19=-12x+36-15 \\ 12x-19=-12x+21 \\ 24x-19=21 \\ 24x-19\textcolor{#FF7968}{+19}=21\textcolor{#FF7968}{+19} \\ \textcolor{#FF7968}{24x=40} \\ x=(40)/(24)=(5)/(3) \end{gathered}`

Because on line 4 they subtract 19 from the right side and the correct step is to add 19 to the right side.