B(x+a)=ax+d

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Solution for B(x+a)=ax+d equation: 


Simplifying
B(x + a) = ax + d

Reorder the terms:
B(a + x) = ax + d
(a * B + x * B) = ax + d
(aB + xB) = ax + d

Solving
aB + xB = ax + d

Solving for variable 'a'.

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

Add '-1ax' to each side of the equation.
aB + -1ax + xB = ax + -1ax + d

Combine like terms: ax + -1ax = 0
aB + -1ax + xB = 0 + d
aB + -1ax + xB = d

Add '-1xB' to each side of the equation.
aB + -1ax + xB + -1xB = d + -1xB

Combine like terms: xB + -1xB = 0
aB + -1ax + 0 = d + -1xB
aB + -1ax = d + -1xB

Reorder the terms:
aB + -1ax + -1d + xB = d + -1d + -1xB + xB

Combine like terms: d + -1d = 0
aB + -1ax + -1d + xB = 0 + -1xB + xB
aB + -1ax + -1d + xB = -1xB + xB

Combine like terms: -1xB + xB = 0
aB + -1ax + -1d + xB = 0

The solution to this equation could not be determined.

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