Answer:
[ 5 ] -350 = 10x
[ 1 ] - 5 - 2 = ∛(10x + 7) + 2 - 2
[ 6 ] - 35 = x
[ 4 ] - 343 - 7 = 10x + 7 - 7
[ 3 ] - 343 = 10x + 7
[ 2 ] -7 = ∛(10x + 7)
Explanation:
The given equation is
[tex]-5=\sqrt[3]{10x+7}+2[/tex]To solve the expression, we first need to subtract 2 from both sides
[tex]\begin{gathered} -5-2=\sqrt[3]{10x+7}+2-2 \\ -7=\sqrt[3]{10x+7} \end{gathered}[/tex]Then, make each side to the power of 3, so
[tex]\begin{gathered} (-7)^3=(\sqrt[3]{10x+7})^3 \\ -343=10x+7 \end{gathered}[/tex]Subtract 7 from both sides
[tex]\begin{gathered} -343-7=10x+7-7 \\ -350=10x \end{gathered}[/tex]Divide both sides by 10
[tex]\begin{gathered} -\frac{350}{10}=\frac{10x}{10} \\ -35=x \end{gathered}[/tex]Therefore, the order of the steps is
[ 5 ] -350 = 10x
[ 1 ] - 5 - 2 = ∛(10x + 7) + 2 - 2
[ 6 ] - 35 = x
[ 4 ] - 343 - 7 = 10x + 7 - 7
[ 3 ] - 343 = 10x + 7
[ 2 ] -7 = ∛(10x + 7)