a+b*p=x+e*p

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Solution for a+b*p=x+e*p equation: 


Simplifying
a + b * p = x + e * p

Multiply b * p
a + bp = x + e * p

Multiply e * p
a + bp = x + ep

Reorder the terms:
a + bp = ep + x

Solving
a + bp = ep + x

Solving for variable 'a'.

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

Add '-1bp' to each side of the equation.
a + bp + -1bp = ep + -1bp + x

Combine like terms: bp + -1bp = 0
a + 0 = ep + -1bp + x
a = ep + -1bp + x

Reorder the terms:
a = -1bp + ep + x

Simplifying
a = -1bp + ep + x

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