2(x+3)4y=3(x-2)+7

Solution for 2(x+3)4y=3(x-2)+7 equation:

Simplifying
2(x + 3) * 4y = 3(x + -2) + 7

Reorder the terms:
2(3 + x) * 4y = 3(x + -2) + 7

Reorder the terms for easier multiplication:
2 * 4y(3 + x) = 3(x + -2) + 7

Multiply 2 * 4
8y(3 + x) = 3(x + -2) + 7
(3 * 8y + x * 8y) = 3(x + -2) + 7

Reorder the terms:
(8xy + 24y) = 3(x + -2) + 7
(8xy + 24y) = 3(x + -2) + 7

Reorder the terms:
8xy + 24y = 3(-2 + x) + 7
8xy + 24y = (-2 * 3 + x * 3) + 7
8xy + 24y = (-6 + 3x) + 7

Reorder the terms:
8xy + 24y = -6 + 7 + 3x

Combine like terms: -6 + 7 = 1
8xy + 24y = 1 + 3x

Solving
8xy + 24y = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8xy + -3x + 24y = 1 + 3x + -3x

Reorder the terms:
-3x + 8xy + 24y = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3x + 8xy + 24y = 1 + 0
-3x + 8xy + 24y = 1

Add '-24y' to each side of the equation.
-3x + 8xy + 24y + -24y = 1 + -24y

Combine like terms: 24y + -24y = 0
-3x + 8xy + 0 = 1 + -24y
-3x + 8xy = 1 + -24y

Reorder the terms:
-1 + -3x + 8xy + 24y = 1 + -24y + -1 + 24y

Reorder the terms:
-1 + -3x + 8xy + 24y = 1 + -1 + -24y + 24y

Combine like terms: 1 + -1 = 0
-1 + -3x + 8xy + 24y = 0 + -24y + 24y
-1 + -3x + 8xy + 24y = -24y + 24y

Combine like terms: -24y + 24y = 0
-1 + -3x + 8xy + 24y = 0

The solution to this equation could not be determined.