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

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


Simplifying
5(x + 5y) + -1(2x + -1(3x + -3(x + -2y) + y)) = 0
(x * 5 + 5y * 5) + -1(2x + -1(3x + -3(x + -2y) + y)) = 0
(5x + 25y) + -1(2x + -1(3x + -3(x + -2y) + y)) = 0
5x + 25y + -1(2x + -1(3x + (x * -3 + -2y * -3) + y)) = 0
5x + 25y + -1(2x + -1(3x + (-3x + 6y) + y)) = 0

Combine like terms: 3x + -3x = 0
5x + 25y + -1(2x + -1(0 + 6y + y)) = 0
5x + 25y + -1(2x + -1(6y + y)) = 0

Combine like terms: 6y + y = 7y
5x + 25y + -1(2x + -1(7y)) = 0

Remove parenthesis around (7y)
5x + 25y + -1(2x + -1 * 7y) = 0

Multiply -1 * 7
5x + 25y + -1(2x + -7y) = 0
5x + 25y + (2x * -1 + -7y * -1) = 0
5x + 25y + (-2x + 7y) = 0

Reorder the terms:
5x + -2x + 25y + 7y = 0

Combine like terms: 5x + -2x = 3x
3x + 25y + 7y = 0

Combine like terms: 25y + 7y = 32y
3x + 32y = 0

Solving
3x + 32y = 0

Solving for variable 'x'.

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

Add '-32y' to each side of the equation.
3x + 32y + -32y = 0 + -32y

Combine like terms: 32y + -32y = 0
3x + 0 = 0 + -32y
3x = 0 + -32y
Remove the zero:
3x = -32y

Divide each side by '3'.
x = -10.66666667y

Simplifying
x = -10.66666667y

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