3(Ax+b)-d=e

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Solution for 3(Ax+b)-d=e equation: 


Simplifying
3(Ax + b) + -1d = e

Reorder the terms:
3(b + xA) + -1d = e
(b * 3 + xA * 3) + -1d = e
(3b + 3xA) + -1d = e

Reorder the terms:
3b + -1d + 3xA = e

Solving
3b + -1d + 3xA = e

Solving for variable 'b'.

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

Add 'd' to each side of the equation.
3b + -1d + d + 3xA = d + e

Combine like terms: -1d + d = 0
3b + 0 + 3xA = d + e
3b + 3xA = d + e

Add '-3xA' to each side of the equation.
3b + 3xA + -3xA = d + e + -3xA

Combine like terms: 3xA + -3xA = 0
3b + 0 = d + e + -3xA
3b = d + e + -3xA

Divide each side by '3'.
b = 0.3333333333d + 0.3333333333e + -1xA

Simplifying
b = 0.3333333333d + 0.3333333333e + -1xA

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