5(x-b)=2b+ax

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Solution for 5(x-b)=2b+ax equation:


Simplifying
5(x + -1b) = 2b + ax

Reorder the terms:
5(-1b + x) = 2b + ax
(-1b * 5 + x * 5) = 2b + ax
(-5b + 5x) = 2b + ax

Reorder the terms:
-5b + 5x = ax + 2b

Solving
-5b + 5x = ax + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
-5b + -2b + 5x = ax + 2b + -2b

Combine like terms: -5b + -2b = -7b
-7b + 5x = ax + 2b + -2b

Combine like terms: 2b + -2b = 0
-7b + 5x = ax + 0
-7b + 5x = ax

Add '-5x' to each side of the equation.
-7b + 5x + -5x = ax + -5x

Combine like terms: 5x + -5x = 0
-7b + 0 = ax + -5x
-7b = ax + -5x

Divide each side by '-7'.
b = -0.1428571429ax + 0.7142857143x

Simplifying
b = -0.1428571429ax + 0.7142857143x

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