sqrt(2x+5)=2+sqrt(3x+5)

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Solution for sqrt(2x+5)=2+sqrt(3x+5) equation:


Simplifying
sqrt(2x + 5) = 2 + sqrt(3x + 5)

Reorder the terms:
qrst(5 + 2x) = 2 + sqrt(3x + 5)
(5 * qrst + 2x * qrst) = 2 + sqrt(3x + 5)
(5qrst + 2qrstx) = 2 + sqrt(3x + 5)

Reorder the terms:
5qrst + 2qrstx = 2 + qrst(5 + 3x)
5qrst + 2qrstx = 2 + (5 * qrst + 3x * qrst)
5qrst + 2qrstx = 2 + (5qrst + 3qrstx)

Add '-5qrst' to each side of the equation.
5qrst + -5qrst + 2qrstx = 2 + 5qrst + -5qrst + 3qrstx

Combine like terms: 5qrst + -5qrst = 0
0 + 2qrstx = 2 + 5qrst + -5qrst + 3qrstx
2qrstx = 2 + 5qrst + -5qrst + 3qrstx

Combine like terms: 5qrst + -5qrst = 0
2qrstx = 2 + 0 + 3qrstx
2qrstx = 2 + 3qrstx

Solving
2qrstx = 2 + 3qrstx

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-3qrstx' to each side of the equation.
2qrstx + -3qrstx = 2 + 3qrstx + -3qrstx

Combine like terms: 2qrstx + -3qrstx = -1qrstx
-1qrstx = 2 + 3qrstx + -3qrstx

Combine like terms: 3qrstx + -3qrstx = 0
-1qrstx = 2 + 0
-1qrstx = 2

Divide each side by '-1rstx'.
q = -2r-1s-1t-1x-1

Simplifying
q = -2r-1s-1t-1x-1

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