I need help solving equation step by step please

Question

I need help solving step by step please

-10+square root 2x+1=-5

Answer 1

It is not clear if you meant

-10 + √(2x + 1) = -5

or

-10 + √(2x) + 1 = -5

I will work the first one. Even if it is not the problem you intended, you can still see the method.

-10 + √(2x + 1) = -5

Get the square root by itself on one side.

√(2x + 1) = -5 + 10 = 5

Square both sides.

2x + 1 = 5² = 25

Solve for x.

x = (25 - 1) / 2 = 12

Test the answer.

-10 + √[2(12) + 1] = -5 (good)