Question

what is 2√
​9x
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​​ −6=10−2√
​x
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Answer 1

So,

$2 \sqrt{9x} - 6 = 10 - 2 \sqrt{x}$

Simplify radicals first.
$6 \sqrt{x} - 6 = 10 - 2 \sqrt{x}$

Try to combine the radicals.
$8 \sqrt{x} - 6 = 10$

Isolate the radical.
$8 \sqrt{x} = 16$

Power both sides.
$64x = 256$

Divide both sides by 64.
$x = 4$

Check
$2 \sqrt{9(4)} - 6 = 10 - 2 \sqrt{4}$

Simplify radicals.
$2 \sqrt{36} - 6 = 10 - 2 \sqrt{4}$
$2(6) - 6 = 10 - 2(2)$

Perform multiplication.
$12 - 6 = 10 - 4$

Perform subtraction.
$6 = 6\ This\ checks.$

S = {4}