sqt(x+2)-sqt(x+3)=x+1

Solution for sqt(x+2)-sqt(x+3)=x+1 equation:

Simplifying
sqt(x + 2) + -1sqt(x + 3) = x + 1

Reorder the terms:
qst(2 + x) + -1sqt(x + 3) = x + 1
(2 * qst + x * qst) + -1sqt(x + 3) = x + 1
(2qst + qstx) + -1sqt(x + 3) = x + 1

Reorder the terms:
2qst + qstx + -1qst(3 + x) = x + 1
2qst + qstx + (3 * -1qst + x * -1qst) = x + 1
2qst + qstx + (-3qst + -1qstx) = x + 1

Reorder the terms:
2qst + -3qst + qstx + -1qstx = x + 1

Combine like terms: 2qst + -3qst = -1qst
-1qst + qstx + -1qstx = x + 1

Combine like terms: qstx + -1qstx = 0
-1qst + 0 = x + 1
-1qst = x + 1

Reorder the terms:
-1qst = 1 + x

Solving
-1qst = 1 + x

Solving for variable 'q'.

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

Divide each side by '-1st'.
q = -1s-1t-1 + -1s-1t-1x

Simplifying
q = -1s-1t-1 + -1s-1t-1x