ax+1=2x+b

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Solution for ax+1=2x+b equation:


Simplifying
ax + 1 = 2x + b

Reorder the terms:
1 + ax = 2x + b

Reorder the terms:
1 + ax = b + 2x

Solving
1 + ax = b + 2x

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + -1 + ax = b + -1 + 2x

Combine like terms: 1 + -1 = 0
0 + ax = b + -1 + 2x
ax = b + -1 + 2x

Reorder the terms:
ax = -1 + b + 2x

Divide each side by 'x'.
a = -1x-1 + bx-1 + 2

Simplifying
a = -1x-1 + bx-1 + 2

Reorder the terms:
a = 2 + bx-1 + -1x-1

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