x+(a*x)=b

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Solution for x+(a*x)=b equation: 


Simplifying
x + (a * x) = b

Multiply a * x
x + (ax) = b
x + ax = b

Reorder the terms:
ax + x = b

Solving
ax + x = b

Solving for variable 'a'.

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

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

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

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

Simplifying
a = bx-1 + -1

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

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