2*(3x+5y)=3*(8y-x)+21

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Solution for 2*(3x+5y)=3*(8y-x)+21 equation: 


Simplifying
2(3x + 5y) = 3(8y + -1x) + 21
(3x * 2 + 5y * 2) = 3(8y + -1x) + 21
(6x + 10y) = 3(8y + -1x) + 21

Reorder the terms:
6x + 10y = 3(-1x + 8y) + 21
6x + 10y = (-1x * 3 + 8y * 3) + 21
6x + 10y = (-3x + 24y) + 21

Reorder the terms:
6x + 10y = 21 + -3x + 24y

Solving
6x + 10y = 21 + -3x + 24y

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6x + 3x + 10y = 21 + -3x + 3x + 24y

Combine like terms: 6x + 3x = 9x
9x + 10y = 21 + -3x + 3x + 24y

Combine like terms: -3x + 3x = 0
9x + 10y = 21 + 0 + 24y
9x + 10y = 21 + 24y

Add '-10y' to each side of the equation.
9x + 10y + -10y = 21 + 24y + -10y

Combine like terms: 10y + -10y = 0
9x + 0 = 21 + 24y + -10y
9x = 21 + 24y + -10y

Combine like terms: 24y + -10y = 14y
9x = 21 + 14y

Divide each side by '9'.
x = 2.333333333 + 1.555555556y

Simplifying
x = 2.333333333 + 1.555555556y

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