(x+2)(x-3)-2y=(x+1)(x-6)+4-3y

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Solution for (x+2)(x-3)-2y=(x+1)(x-6)+4-3y equation: 


Simplifying
(x + 2)(x + -3) + -2y = (x + 1)(x + -6) + 4 + -3y

Reorder the terms:
(2 + x)(x + -3) + -2y = (x + 1)(x + -6) + 4 + -3y

Reorder the terms:
(2 + x)(-3 + x) + -2y = (x + 1)(x + -6) + 4 + -3y

Multiply (2 + x) * (-3 + x)
(2(-3 + x) + x(-3 + x)) + -2y = (x + 1)(x + -6) + 4 + -3y
((-3 * 2 + x * 2) + x(-3 + x)) + -2y = (x + 1)(x + -6) + 4 + -3y
((-6 + 2x) + x(-3 + x)) + -2y = (x + 1)(x + -6) + 4 + -3y
(-6 + 2x + (-3 * x + x * x)) + -2y = (x + 1)(x + -6) + 4 + -3y
(-6 + 2x + (-3x + x2)) + -2y = (x + 1)(x + -6) + 4 + -3y

Combine like terms: 2x + -3x = -1x
(-6 + -1x + x2) + -2y = (x + 1)(x + -6) + 4 + -3y

Reorder the terms:
-6 + -1x + x2 + -2y = (1 + x)(x + -6) + 4 + -3y

Reorder the terms:
-6 + -1x + x2 + -2y = (1 + x)(-6 + x) + 4 + -3y

Multiply (1 + x) * (-6 + x)
-6 + -1x + x2 + -2y = (1(-6 + x) + x(-6 + x)) + 4 + -3y
-6 + -1x + x2 + -2y = ((-6 * 1 + x * 1) + x(-6 + x)) + 4 + -3y
-6 + -1x + x2 + -2y = ((-6 + 1x) + x(-6 + x)) + 4 + -3y
-6 + -1x + x2 + -2y = (-6 + 1x + (-6 * x + x * x)) + 4 + -3y
-6 + -1x + x2 + -2y = (-6 + 1x + (-6x + x2)) + 4 + -3y

Combine like terms: 1x + -6x = -5x
-6 + -1x + x2 + -2y = (-6 + -5x + x2) + 4 + -3y

Reorder the terms:
-6 + -1x + x2 + -2y = -6 + 4 + -5x + x2 + -3y

Combine like terms: -6 + 4 = -2
-6 + -1x + x2 + -2y = -2 + -5x + x2 + -3y

Add '-1x2' to each side of the equation.
-6 + -1x + x2 + -1x2 + -2y = -2 + -5x + x2 + -1x2 + -3y

Combine like terms: x2 + -1x2 = 0
-6 + -1x + 0 + -2y = -2 + -5x + x2 + -1x2 + -3y
-6 + -1x + -2y = -2 + -5x + x2 + -1x2 + -3y

Combine like terms: x2 + -1x2 = 0
-6 + -1x + -2y = -2 + -5x + 0 + -3y
-6 + -1x + -2y = -2 + -5x + -3y

Solving
-6 + -1x + -2y = -2 + -5x + -3y

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-6 + -1x + 5x + -2y = -2 + -5x + 5x + -3y

Combine like terms: -1x + 5x = 4x
-6 + 4x + -2y = -2 + -5x + 5x + -3y

Combine like terms: -5x + 5x = 0
-6 + 4x + -2y = -2 + 0 + -3y
-6 + 4x + -2y = -2 + -3y

Add '6' to each side of the equation.
-6 + 4x + 6 + -2y = -2 + 6 + -3y

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

Combine like terms: -6 + 6 = 0
0 + 4x + -2y = -2 + 6 + -3y
4x + -2y = -2 + 6 + -3y

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

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

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

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

Divide each side by '4'.
x = 1 + -0.25y

Simplifying
x = 1 + -0.25y

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