Start solving the equation. Find the equation that is equivalent.
$\sqrt{3 x - 5} - 5 = 3$

Answer

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Answer

Since the solution checks out, the final answer is $23$

Steps

Step 1 ：Isolate the square root term on one side of the equation: $\sqrt{3 x - 5} = 8$

Step 2 ：Square both sides of the equation to eliminate the square root: $(\sqrt{3 x - 5})^{2} = 8^{2}$

Step 3 ：Simplify the squared equation: $3 x - 5 = 64$

Step 4 ：Solve for x: $3 x = 69$

Step 5 ：Divide both sides by 3: $x = 23$

Step 6 ：Check the solution by plugging it back into the original equation: $\sqrt{3 (23) - 5} - 5 = 3$

Step 7 ：Simplify the check: $\sqrt{64} - 5 = 3$

Step 8 ：Verify the solution: $8 - 5 = 3$

Step 9 ：Since the solution checks out, the final answer is $23$