Answer:
x = 127
Step-by-step explanation:
[tex]7-\sqrt[3]{2-x} = 12[/tex] , add the cube root to both sides and subtract the 12
[tex]7-12 = \sqrt[3]{2-x}[/tex], combine like terms
[tex]-5 = \sqrt[3]{2-x}[/tex], raise both sides to the third power
[tex](-5)^{3} = (\sqrt[3]{2-x} )^{3}[/tex], simplify
[tex]-125= 2-x[/tex] , to isolate the variable subtract 2 from both sides
[tex]-125-2 =-x[/tex], combine like terms
[tex]-127=-x[/tex], multiply both sides by -1
[tex]127=x[/tex] Finished!
