What is the solution to the equation square root of 5 x minus 7 end root is equal to square root of 3 x plus 5 end root ?

Both square roots are principal (nonnegative) roots, so if they are equal, their radicands must be equal: 5x − 7 = 3x + 5. Solving gives 2x = 12, so x = 6. Substituting 6 makes both radicands 23, so the solution is choice A, x is equal to 6.

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