ax=b(x+1)

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Solution for ax=b(x+1) equation:


Simplifying
ax = b(x + 1)

Reorder the terms:
ax = b(1 + x)
ax = (1 * b + x * b)
ax = (1b + bx)

Solving
ax = 1b + bx

Solving for variable 'a'.

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

Divide each side by 'x'.
a = bx-1 + b

Simplifying
a = bx-1 + b

Reorder the terms:
a = b + bx-1

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