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

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


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

Reorder the terms:
3x + -2x + 3y + 2y = 5(8 + 3y)

Combine like terms: 3x + -2x = 1x
1x + 3y + 2y = 5(8 + 3y)

Combine like terms: 3y + 2y = 5y
1x + 5y = 5(8 + 3y)
1x + 5y = (8 * 5 + 3y * 5)
1x + 5y = (40 + 15y)

Solving
1x + 5y = 40 + 15y

Solving for variable 'x'.

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

Add '-5y' to each side of the equation.
1x + 5y + -5y = 40 + 15y + -5y

Combine like terms: 5y + -5y = 0
1x + 0 = 40 + 15y + -5y
1x = 40 + 15y + -5y

Combine like terms: 15y + -5y = 10y
1x = 40 + 10y

Divide each side by '1'.
x = 40 + 10y

Simplifying
x = 40 + 10y

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