8x+4y+12=2x(10+2y)

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Solution for 8x+4y+12=2x(10+2y) equation:


Simplifying
8x + 4y + 12 = 2x(10 + 2y)

Reorder the terms:
12 + 8x + 4y = 2x(10 + 2y)
12 + 8x + 4y = (10 * 2x + 2y * 2x)
12 + 8x + 4y = (20x + 4xy)

Solving
12 + 8x + 4y = 20x + 4xy

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
12 + 8x + -20x + 4y = 20x + -20x + 4xy

Combine like terms: 8x + -20x = -12x
12 + -12x + 4y = 20x + -20x + 4xy

Combine like terms: 20x + -20x = 0
12 + -12x + 4y = 0 + 4xy
12 + -12x + 4y = 4xy

Add '-4xy' to each side of the equation.
12 + -12x + -4xy + 4y = 4xy + -4xy

Combine like terms: 4xy + -4xy = 0
12 + -12x + -4xy + 4y = 0

Add '-12' to each side of the equation.
12 + -12x + -4xy + -12 + 4y = 0 + -12

Reorder the terms:
12 + -12 + -12x + -4xy + 4y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -12x + -4xy + 4y = 0 + -12
-12x + -4xy + 4y = 0 + -12

Combine like terms: 0 + -12 = -12
-12x + -4xy + 4y = -12

Add '-4y' to each side of the equation.
-12x + -4xy + 4y + -4y = -12 + -4y

Combine like terms: 4y + -4y = 0
-12x + -4xy + 0 = -12 + -4y
-12x + -4xy = -12 + -4y

Reorder the terms:
12 + -12x + -4xy + 4y = -12 + -4y + 12 + 4y

Reorder the terms:
12 + -12x + -4xy + 4y = -12 + 12 + -4y + 4y

Combine like terms: -12 + 12 = 0
12 + -12x + -4xy + 4y = 0 + -4y + 4y
12 + -12x + -4xy + 4y = -4y + 4y

Combine like terms: -4y + 4y = 0
12 + -12x + -4xy + 4y = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -3x + -1xy + y) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(3 + -3x + -1xy + y)' equal to zero and attempt to solve: Simplifying 3 + -3x + -1xy + y = 0 Solving 3 + -3x + -1xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3x + -1xy + -3 + y = 0 + -3 Reorder the terms: 3 + -3 + -3x + -1xy + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3x + -1xy + y = 0 + -3 -3x + -1xy + y = 0 + -3 Combine like terms: 0 + -3 = -3 -3x + -1xy + y = -3 Add '-1y' to each side of the equation. -3x + -1xy + y + -1y = -3 + -1y Combine like terms: y + -1y = 0 -3x + -1xy + 0 = -3 + -1y -3x + -1xy = -3 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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