(m+1)x=a-1

Solution for (m+1)x=a-1 equation:

Simplifying
(m + 1) * x = a + -1

Reorder the terms:
(1 + m) * x = a + -1

Reorder the terms for easier multiplication:
x(1 + m) = a + -1
(1 * x + m * x) = a + -1

Reorder the terms:
(mx + 1x) = a + -1
(mx + 1x) = a + -1

Reorder the terms:
mx + 1x = -1 + a

Solving
mx + 1x = -1 + a

Solving for variable 'm'.

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

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

Combine like terms: 1x + -1x = 0
mx + 0 = -1 + a + -1x
mx = -1 + a + -1x

Divide each side by 'x'.
m = -1x-1 + ax-1 + -1

Simplifying
m = -1x-1 + ax-1 + -1

Reorder the terms:
m = -1 + ax-1 + -1x-1