(x+3)*(x-1)-(x-3)*(x+2)=15

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Solution for (x+3)*(x-1)-(x-3)*(x+2)=15 equation: 


Simplifying
(x + 3)(x + -1) + -1(x + -3)(x + 2) = 15

Reorder the terms:
(3 + x)(x + -1) + -1(x + -3)(x + 2) = 15

Reorder the terms:
(3 + x)(-1 + x) + -1(x + -3)(x + 2) = 15

Multiply (3 + x) * (-1 + x)
(3(-1 + x) + x(-1 + x)) + -1(x + -3)(x + 2) = 15
((-1 * 3 + x * 3) + x(-1 + x)) + -1(x + -3)(x + 2) = 15
((-3 + 3x) + x(-1 + x)) + -1(x + -3)(x + 2) = 15
(-3 + 3x + (-1 * x + x * x)) + -1(x + -3)(x + 2) = 15
(-3 + 3x + (-1x + x2)) + -1(x + -3)(x + 2) = 15

Combine like terms: 3x + -1x = 2x
(-3 + 2x + x2) + -1(x + -3)(x + 2) = 15

Reorder the terms:
-3 + 2x + x2 + -1(-3 + x)(x + 2) = 15

Reorder the terms:
-3 + 2x + x2 + -1(-3 + x)(2 + x) = 15

Multiply (-3 + x) * (2 + x)
-3 + 2x + x2 + -1(-3(2 + x) + x(2 + x)) = 15
-3 + 2x + x2 + -1((2 * -3 + x * -3) + x(2 + x)) = 15
-3 + 2x + x2 + -1((-6 + -3x) + x(2 + x)) = 15
-3 + 2x + x2 + -1(-6 + -3x + (2 * x + x * x)) = 15
-3 + 2x + x2 + -1(-6 + -3x + (2x + x2)) = 15

Combine like terms: -3x + 2x = -1x
-3 + 2x + x2 + -1(-6 + -1x + x2) = 15
-3 + 2x + x2 + (-6 * -1 + -1x * -1 + x2 * -1) = 15
-3 + 2x + x2 + (6 + 1x + -1x2) = 15

Reorder the terms:
-3 + 6 + 2x + 1x + x2 + -1x2 = 15

Combine like terms: -3 + 6 = 3
3 + 2x + 1x + x2 + -1x2 = 15

Combine like terms: 2x + 1x = 3x
3 + 3x + x2 + -1x2 = 15

Combine like terms: x2 + -1x2 = 0
3 + 3x + 0 = 15
3 + 3x = 15

Solving
3 + 3x = 15

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 3x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = 15 + -3
3x = 15 + -3

Combine like terms: 15 + -3 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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