Solve for x 4+7/x=5/34+7x=534+7x=53Move all terms not containing xx to the right side of the equation....7x=−737x=-73Set up the rational expression with the same denominator over the entire equation....213x=−7x3x213x=-7x3xSince the expression on each side of the equation has the same denominator, the numerators must be equal.21=−(7x)21=-7xSince xx is on the right side of the equation, switch the sides so it is on the left side of the equation.−(7x)=21-7x=21Multiply 77 by −1-1 to get −7-7.−7x=21-7x=21Divide each term by −7-7 and simplify....x=−3x=-3Check that all solutions found are valid and are part of the domain by substituting them into the original equation.x=−3x=-3 your welcome