[5y+2(6x-y)-3(x-5y-3)-7]=

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Solution for [5y+2(6x-y)-3(x-5y-3)-7]= equation:


Simplifying
[5y + 2(6x + -1y) + -3(x + -5y + -3) + -7] = 0
[5y + (6x * 2 + -1y * 2) + -3(x + -5y + -3) + -7] = 0
[5y + (12x + -2y) + -3(x + -5y + -3) + -7] = 0

Reorder the terms:
[5y + 12x + -2y + -3(-3 + x + -5y) + -7] = 0
[5y + 12x + -2y + (-3 * -3 + x * -3 + -5y * -3) + -7] = 0
[5y + 12x + -2y + (9 + -3x + 15y) + -7] = 0

Reorder the terms:
[9 + -7 + 12x + -3x + 5y + -2y + 15y] = 0

Combine like terms: 9 + -7 = 2
[2 + 12x + -3x + 5y + -2y + 15y] = 0

Combine like terms: 12x + -3x = 9x
[2 + 9x + 5y + -2y + 15y] = 0

Combine like terms: 5y + -2y = 3y
[2 + 9x + 3y + 15y] = 0

Combine like terms: 3y + 15y = 18y
[2 + 9x + 18y] = 0

Remove brackets around [2 + 9x + 18y]
2 + 9x + 18y = 0

Solving
2 + 9x + 18y = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + 9x + -2 + 18y = 0 + -2

Reorder the terms:
2 + -2 + 9x + 18y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9x + 18y = 0 + -2
9x + 18y = 0 + -2

Combine like terms: 0 + -2 = -2
9x + 18y = -2

Add '-18y' to each side of the equation.
9x + 18y + -18y = -2 + -18y

Combine like terms: 18y + -18y = 0
9x + 0 = -2 + -18y
9x = -2 + -18y

Divide each side by '9'.
x = -0.2222222222 + -2y

Simplifying
x = -0.2222222222 + -2y

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