5(3ax+y)=2ax-6y

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Solution for 5(3ax+y)=2ax-6y equation:


Simplifying
5(3ax + y) = 2ax + -6y
(3ax * 5 + y * 5) = 2ax + -6y
(15ax + 5y) = 2ax + -6y

Solving
15ax + 5y = 2ax + -6y

Solving for variable 'a'.

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

Add '-2ax' to each side of the equation.
15ax + -2ax + 5y = 2ax + -2ax + -6y

Combine like terms: 15ax + -2ax = 13ax
13ax + 5y = 2ax + -2ax + -6y

Combine like terms: 2ax + -2ax = 0
13ax + 5y = 0 + -6y
13ax + 5y = -6y

Add '-5y' to each side of the equation.
13ax + 5y + -5y = -6y + -5y

Combine like terms: 5y + -5y = 0
13ax + 0 = -6y + -5y
13ax = -6y + -5y

Combine like terms: -6y + -5y = -11y
13ax = -11y

Divide each side by '13x'.
a = -0.8461538462x-1y

Simplifying
a = -0.8461538462x-1y

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