Question 492037
equation is:


{{{ sqrt(x+5)-6=-2 }}}


add 6 to both sides of the equation to get:


{{{ sqrt(x+5) = -2 + 6}}}


combine like terms to get:


{{{ sqrt(x+5) = 4}}}


square both sides of the equation to get:


{{{(x + 5) = 16}}}


subtract 5 from both sides of the equation to get:


{{{x = 11}}}


that's your answer.


substitute 11 for x in the original equation to get:


{{{ sqrt(x+5)-6=-2 }}} becomes:


{{{ sqrt(11+5)-6=-2 }}} which becomes:


{{{ sqrt(16)-6=-2 }}} which becomes:


{{{4 - 6 = -2}}} which becomes:


{{{-2 = -2}}} which is true, confirming the value of 11 for x is good.