we have
[tex] \sqrt[3]{x} -1+2=0 [/tex]
Step 1
Solve like terms
[tex] \sqrt[3]{x}+(-1+2)=0 [/tex]
[tex] \sqrt[3]{x}+(1)=0 [/tex]
Step 2
Subtract 1 from both sides of the equation
[tex] \sqrt[3]{x}+1-1=0-1 [/tex]
[tex] \sqrt[3]{x}=-1 [/tex]
Step 3
Cube both sides of the equation in order to remove the radical on the left side
[tex] (\sqrt[3]{x})^{3}=(-1 )^{3} \\ x=-1 [/tex]
therefore
the answer is
[tex] x=-1 [/tex]