5(3ax+y)=8ax-3y

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Solution for 5(3ax+y)=8ax-3y equation: 


Simplifying
5(3ax + y) = 8ax + -3y
(3ax * 5 + y * 5) = 8ax + -3y
(15ax + 5y) = 8ax + -3y

Solving
15ax + 5y = 8ax + -3y

Solving for variable 'a'.

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

Add '-8ax' to each side of the equation.
15ax + -8ax + 5y = 8ax + -8ax + -3y

Combine like terms: 15ax + -8ax = 7ax
7ax + 5y = 8ax + -8ax + -3y

Combine like terms: 8ax + -8ax = 0
7ax + 5y = 0 + -3y
7ax + 5y = -3y

Add '-5y' to each side of the equation.
7ax + 5y + -5y = -3y + -5y

Combine like terms: 5y + -5y = 0
7ax + 0 = -3y + -5y
7ax = -3y + -5y

Combine like terms: -3y + -5y = -8y
7ax = -8y

Divide each side by '7x'.
a = -1.142857143x-1y

Simplifying
a = -1.142857143x-1y

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