a(b-2)=3a+b(a)-5a

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Solution for a(b-2)=3a+b(a)-5a equation: 


Simplifying
a(b + -2) = 3a + b(a) + -5a

Reorder the terms:
a(-2 + b) = 3a + b(a) + -5a
(-2 * a + b * a) = 3a + b(a) + -5a
(-2a + ab) = 3a + b(a) + -5a

Multiply b * a
-2a + ab = 3a + ab + -5a

Reorder the terms:
-2a + ab = 3a + -5a + ab

Combine like terms: 3a + -5a = -2a
-2a + ab = -2a + ab

Add '2a' to each side of the equation.
-2a + 2a + ab = -2a + 2a + ab

Combine like terms: -2a + 2a = 0
0 + ab = -2a + 2a + ab
ab = -2a + 2a + ab

Combine like terms: -2a + 2a = 0
ab = 0 + ab
ab = ab

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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