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

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


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

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

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

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

Combine like terms: 2x + 2x = 4x
4x + 8y + -3y = 0

Combine like terms: 8y + -3y = 5y
4x + 5y = 0

Solving
4x + 5y = 0

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.
4x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
4x + 0 = 0 + -5y
4x = 0 + -5y
Remove the zero:
4x = -5y

Divide each side by '4'.
x = -1.25y

Simplifying
x = -1.25y

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