1=x+1+arctgx

Solution for 1=x+1+arctgx equation:

Simplifying
1 = x + 1 + arctgx

Reorder the terms:
1 = 1 + acgrtx + x

Add '-1' to each side of the equation.
1 + -1 = 1 + acgrtx + -1 + x

Combine like terms: 1 + -1 = 0
0 = 1 + acgrtx + -1 + x

Reorder the terms:
0 = 1 + -1 + acgrtx + x

Combine like terms: 1 + -1 = 0
0 = 0 + acgrtx + x
0 = acgrtx + x

Solving
0 = acgrtx + x

Solving for variable 'a'.

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

Add '-1acgrtx' to each side of the equation.
0 + -1acgrtx = acgrtx + -1acgrtx + x
Remove the zero:
-1acgrtx = acgrtx + -1acgrtx + x

Combine like terms: acgrtx + -1acgrtx = 0
-1acgrtx = 0 + x
-1acgrtx = x

Divide each side by '-1cgrtx'.
a = -1c-1g-1r-1t-1

Simplifying
a = -1c-1g-1r-1t-1