2tg(x+1)+3(1-tgx)=-2(tgx-1)+4

Solution for 2tg(x+1)+3(1-tgx)=-2(tgx-1)+4 equation:

Simplifying
2tg(x + 1) + 3(1 + -1tgx) = -2(tgx + -1) + 4

Reorder the terms:
2gt(1 + x) + 3(1 + -1tgx) = -2(tgx + -1) + 4
(1 * 2gt + x * 2gt) + 3(1 + -1tgx) = -2(tgx + -1) + 4
(2gt + 2gtx) + 3(1 + -1tgx) = -2(tgx + -1) + 4
2gt + 2gtx + (1 * 3 + -1gtx * 3) = -2(tgx + -1) + 4
2gt + 2gtx + (3 + -3gtx) = -2(tgx + -1) + 4

Reorder the terms:
3 + 2gt + 2gtx + -3gtx = -2(tgx + -1) + 4

Combine like terms: 2gtx + -3gtx = -1gtx
3 + 2gt + -1gtx = -2(tgx + -1) + 4

Reorder the terms:
3 + 2gt + -1gtx = -2(-1 + gtx) + 4
3 + 2gt + -1gtx = (-1 * -2 + gtx * -2) + 4
3 + 2gt + -1gtx = (2 + -2gtx) + 4

Reorder the terms:
3 + 2gt + -1gtx = 2 + 4 + -2gtx

Combine like terms: 2 + 4 = 6
3 + 2gt + -1gtx = 6 + -2gtx

Solving
3 + 2gt + -1gtx = 6 + -2gtx

Solving for variable 'g'.

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

Add '2gtx' to each side of the equation.
3 + 2gt + -1gtx + 2gtx = 6 + -2gtx + 2gtx

Combine like terms: -1gtx + 2gtx = 1gtx
3 + 2gt + 1gtx = 6 + -2gtx + 2gtx

Combine like terms: -2gtx + 2gtx = 0
3 + 2gt + 1gtx = 6 + 0
3 + 2gt + 1gtx = 6

Add '-3' to each side of the equation.
3 + 2gt + -3 + 1gtx = 6 + -3

Reorder the terms:
3 + -3 + 2gt + 1gtx = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 2gt + 1gtx = 6 + -3
2gt + 1gtx = 6 + -3

Combine like terms: 6 + -3 = 3
2gt + 1gtx = 3

Reorder the terms:
-3 + 2gt + 1gtx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 2gt + 1gtx = 0

The solution to this equation could not be determined.