3x-[x-(4x+2y)+4y]-5=

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


Simplifying
3x + -1[x + -1(4x + 2y) + 4y] + -5 = 0
3x + -1[x + (4x * -1 + 2y * -1) + 4y] + -5 = 0
3x + -1[x + (-4x + -2y) + 4y] + -5 = 0

Combine like terms: x + -4x = -3x
3x + -1[-3x + -2y + 4y] + -5 = 0

Combine like terms: -2y + 4y = 2y
3x + -1[-3x + 2y] + -5 = 0
3x + [-3x * -1 + 2y * -1] + -5 = 0
3x + [3x + -2y] + -5 = 0

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

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

Solving
-5 + 6x + -2y = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 6x + 5 + -2y = 0 + 5

Reorder the terms:
-5 + 5 + 6x + -2y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 6x + -2y = 0 + 5
6x + -2y = 0 + 5

Combine like terms: 0 + 5 = 5
6x + -2y = 5

Add '2y' to each side of the equation.
6x + -2y + 2y = 5 + 2y

Combine like terms: -2y + 2y = 0
6x + 0 = 5 + 2y
6x = 5 + 2y

Divide each side by '6'.
x = 0.8333333333 + 0.3333333333y

Simplifying
x = 0.8333333333 + 0.3333333333y

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