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

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


Simplifying
3(X + 2y) + -1[4 + -2(x + y)] = x
(X * 3 + 2y * 3) + -1[4 + -2(x + y)] = x
(3X + 6y) + -1[4 + -2(x + y)] = x
3X + 6y + -1[4 + (x * -2 + y * -2)] = x
3X + 6y + -1[4 + (-2x + -2y)] = x
3X + 6y + [4 * -1 + -2x * -1 + -2y * -1] = x
3X + 6y + [-4 + 2x + 2y] = x

Reorder the terms:
-4 + 3X + 2x + 6y + 2y = x

Combine like terms: 6y + 2y = 8y
-4 + 3X + 2x + 8y = x

Solving
-4 + 3X + 2x + 8y = x

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + 3X + 2x + 4 + 8y = 4 + x

Reorder the terms:
-4 + 4 + 3X + 2x + 8y = 4 + x

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

Add '-2x' to each side of the equation.
3X + 2x + -2x + 8y = 4 + x + -2x

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

Combine like terms: x + -2x = -1x
3X + 8y = 4 + -1x

Add '-8y' to each side of the equation.
3X + 8y + -8y = 4 + -1x + -8y

Combine like terms: 8y + -8y = 0
3X + 0 = 4 + -1x + -8y
3X = 4 + -1x + -8y

Divide each side by '3'.
X = 1.333333333 + -0.3333333333x + -2.666666667y

Simplifying
X = 1.333333333 + -0.3333333333x + -2.666666667y

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