(a+b)x=ab

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


Simplifying
(a + b) * x = ab

Reorder the terms for easier multiplication:
x(a + b) = ab
(a * x + b * x) = ab
(ax + bx) = ab

Solving
ax + bx = ab

Solving for variable 'a'.

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

Add '-1ab' to each side of the equation.
ax + -1ab + bx = ab + -1ab

Reorder the terms:
-1ab + ax + bx = ab + -1ab

Combine like terms: ab + -1ab = 0
-1ab + ax + bx = 0

Add '-1bx' to each side of the equation.
-1ab + ax + bx + -1bx = 0 + -1bx

Combine like terms: bx + -1bx = 0
-1ab + ax + 0 = 0 + -1bx
-1ab + ax = 0 + -1bx
Remove the zero:
-1ab + ax = -1bx

Combine like terms: -1bx + bx = 0
-1ab + ax + bx = 0

The solution to this equation could not be determined.

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