Question 857545
{{{ sqrt (2x-5) + 3 = 12 }}}
subtract 3 from both sides
{{{sqrt(2x-5) = 9}}}
square both sides
2x - 5 = 9^2
Add 5 to both sides
2x = 81 + 5
x = 86/2
x = 43
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See if that checks out in the original equation
{{{ sqrt (2(43)-5) + 3 = 12 }}}
{{{ sqrt (86-5) + 3 = 12 }}}
{{{ sqrt (81) + 3 = 12 }}}
 9 + 3 = 12