6(6x-(2-4y+3x)+5y)=

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Solution for 6(6x-(2-4y+3x)+5y)= equation:


Simplifying
6(6x + -1(2 + -4y + 3x) + 5y) = 0

Reorder the terms:
6(6x + -1(2 + 3x + -4y) + 5y) = 0
6(6x + (2 * -1 + 3x * -1 + -4y * -1) + 5y) = 0
6(6x + (-2 + -3x + 4y) + 5y) = 0

Reorder the terms:
6(-2 + 6x + -3x + 4y + 5y) = 0

Combine like terms: 6x + -3x = 3x
6(-2 + 3x + 4y + 5y) = 0

Combine like terms: 4y + 5y = 9y
6(-2 + 3x + 9y) = 0
(-2 * 6 + 3x * 6 + 9y * 6) = 0
(-12 + 18x + 54y) = 0

Solving
-12 + 18x + 54y = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 18x + 12 + 54y = 0 + 12

Reorder the terms:
-12 + 12 + 18x + 54y = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 18x + 54y = 0 + 12
18x + 54y = 0 + 12

Combine like terms: 0 + 12 = 12
18x + 54y = 12

Add '-54y' to each side of the equation.
18x + 54y + -54y = 12 + -54y

Combine like terms: 54y + -54y = 0
18x + 0 = 12 + -54y
18x = 12 + -54y

Divide each side by '18'.
x = 0.6666666667 + -3y

Simplifying
x = 0.6666666667 + -3y

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