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

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


Simplifying
(3y + 5x + 8) + -1(8y + 2x + -5) = 0

Reorder the terms:
(8 + 5x + 3y) + -1(8y + 2x + -5) = 0

Remove parenthesis around (8 + 5x + 3y)
8 + 5x + 3y + -1(8y + 2x + -5) = 0

Reorder the terms:
8 + 5x + 3y + -1(-5 + 2x + 8y) = 0
8 + 5x + 3y + (-5 * -1 + 2x * -1 + 8y * -1) = 0
8 + 5x + 3y + (5 + -2x + -8y) = 0

Reorder the terms:
8 + 5 + 5x + -2x + 3y + -8y = 0

Combine like terms: 8 + 5 = 13
13 + 5x + -2x + 3y + -8y = 0

Combine like terms: 5x + -2x = 3x
13 + 3x + 3y + -8y = 0

Combine like terms: 3y + -8y = -5y
13 + 3x + -5y = 0

Solving
13 + 3x + -5y = 0

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + 3x + -13 + -5y = 0 + -13

Reorder the terms:
13 + -13 + 3x + -5y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3x + -5y = 0 + -13
3x + -5y = 0 + -13

Combine like terms: 0 + -13 = -13
3x + -5y = -13

Add '5y' to each side of the equation.
3x + -5y + 5y = -13 + 5y

Combine like terms: -5y + 5y = 0
3x + 0 = -13 + 5y
3x = -13 + 5y

Divide each side by '3'.
x = -4.333333333 + 1.666666667y

Simplifying
x = -4.333333333 + 1.666666667y

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