3(2x+4)=5(y-8)

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Solution for 3(2x+4)=5(y-8) equation: 


Simplifying
3(2x + 4) = 5(y + -8)

Reorder the terms:
3(4 + 2x) = 5(y + -8)
(4 * 3 + 2x * 3) = 5(y + -8)
(12 + 6x) = 5(y + -8)

Reorder the terms:
12 + 6x = 5(-8 + y)
12 + 6x = (-8 * 5 + y * 5)
12 + 6x = (-40 + 5y)

Solving
12 + 6x = -40 + 5y

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 6x = -40 + -12 + 5y

Combine like terms: 12 + -12 = 0
0 + 6x = -40 + -12 + 5y
6x = -40 + -12 + 5y

Combine like terms: -40 + -12 = -52
6x = -52 + 5y

Divide each side by '6'.
x = -8.666666667 + 0.8333333333y

Simplifying
x = -8.666666667 + 0.8333333333y

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