(a+1)x-5y+6=0

Solution for (a+1)x-5y+6=0 equation:

Simplifying
(a + 1) * x + -5y + 6 = 0

Reorder the terms:
(1 + a) * x + -5y + 6 = 0

Reorder the terms for easier multiplication:
x(1 + a) + -5y + 6 = 0
(1 * x + a * x) + -5y + 6 = 0

Reorder the terms:
(ax + 1x) + -5y + 6 = 0
(ax + 1x) + -5y + 6 = 0

Reorder the terms:
6 + ax + 1x + -5y = 0

Solving
6 + ax + 1x + -5y = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + ax + 1x + -6 + -5y = 0 + -6

Reorder the terms:
6 + -6 + ax + 1x + -5y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + ax + 1x + -5y = 0 + -6
ax + 1x + -5y = 0 + -6

Combine like terms: 0 + -6 = -6
ax + 1x + -5y = -6

Add '-1x' to each side of the equation.
ax + 1x + -1x + -5y = -6 + -1x

Combine like terms: 1x + -1x = 0
ax + 0 + -5y = -6 + -1x
ax + -5y = -6 + -1x

Add '5y' to each side of the equation.
ax + -5y + 5y = -6 + -1x + 5y

Combine like terms: -5y + 5y = 0
ax + 0 = -6 + -1x + 5y
ax = -6 + -1x + 5y

Divide each side by 'x'.
a = -6x-1 + -1 + 5x-1y

Simplifying
a = -6x-1 + -1 + 5x-1y

Reorder the terms:
a = -1 + -6x-1 + 5x-1y