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

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


Simplifying
3(x + y) * 2 + -4 = 2(x + y)

Reorder the terms for easier multiplication:
3 * 2(x + y) + -4 = 2(x + y)

Multiply 3 * 2
6(x + y) + -4 = 2(x + y)
(x * 6 + y * 6) + -4 = 2(x + y)
(6x + 6y) + -4 = 2(x + y)

Reorder the terms:
-4 + 6x + 6y = 2(x + y)
-4 + 6x + 6y = (x * 2 + y * 2)
-4 + 6x + 6y = (2x + 2y)

Solving
-4 + 6x + 6y = 2x + 2y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 6x + -2x + 6y = 2x + -2x + 2y

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

Combine like terms: 2x + -2x = 0
-4 + 4x + 6y = 0 + 2y
-4 + 4x + 6y = 2y

Add '4' to each side of the equation.
-4 + 4x + 4 + 6y = 4 + 2y

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

Combine like terms: -4 + 4 = 0
0 + 4x + 6y = 4 + 2y
4x + 6y = 4 + 2y

Add '-6y' to each side of the equation.
4x + 6y + -6y = 4 + 2y + -6y

Combine like terms: 6y + -6y = 0
4x + 0 = 4 + 2y + -6y
4x = 4 + 2y + -6y

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

Divide each side by '4'.
x = 1 + -1y

Simplifying
x = 1 + -1y

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