8ax-5(ax+b)=6b+3x

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Solution for 8ax-5(ax+b)=6b+3x equation: 


Simplifying
8ax + -5(ax + b) = 6b + 3x
8ax + (ax * -5 + b * -5) = 6b + 3x
8ax + (-5ax + -5b) = 6b + 3x

Combine like terms: 8ax + -5ax = 3ax
3ax + -5b = 6b + 3x

Solving
3ax + -5b = 6b + 3x

Solving for variable 'a'.

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

Add '5b' to each side of the equation.
3ax + -5b + 5b = 6b + 5b + 3x

Combine like terms: -5b + 5b = 0
3ax + 0 = 6b + 5b + 3x
3ax = 6b + 5b + 3x

Combine like terms: 6b + 5b = 11b
3ax = 11b + 3x

Divide each side by '3x'.
a = 3.666666667bx-1 + 1

Simplifying
a = 3.666666667bx-1 + 1

Reorder the terms:
a = 1 + 3.666666667bx-1

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