x^2-5x+15=x(x-3)-15+5(x-2)+3(13-2x)

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Solution for x^2-5x+15=x(x-3)-15+5(x-2)+3(13-2x) equation: 


Simplifying
x2 + -5x + 15 = x(x + -3) + -15 + 5(x + -2) + 3(13 + -2x)

Reorder the terms:
15 + -5x + x2 = x(x + -3) + -15 + 5(x + -2) + 3(13 + -2x)

Reorder the terms:
15 + -5x + x2 = x(-3 + x) + -15 + 5(x + -2) + 3(13 + -2x)
15 + -5x + x2 = (-3 * x + x * x) + -15 + 5(x + -2) + 3(13 + -2x)
15 + -5x + x2 = (-3x + x2) + -15 + 5(x + -2) + 3(13 + -2x)

Reorder the terms:
15 + -5x + x2 = -3x + x2 + -15 + 5(-2 + x) + 3(13 + -2x)
15 + -5x + x2 = -3x + x2 + -15 + (-2 * 5 + x * 5) + 3(13 + -2x)
15 + -5x + x2 = -3x + x2 + -15 + (-10 + 5x) + 3(13 + -2x)
15 + -5x + x2 = -3x + x2 + -15 + -10 + 5x + (13 * 3 + -2x * 3)
15 + -5x + x2 = -3x + x2 + -15 + -10 + 5x + (39 + -6x)

Reorder the terms:
15 + -5x + x2 = -15 + -10 + 39 + -3x + 5x + -6x + x2

Combine like terms: -15 + -10 = -25
15 + -5x + x2 = -25 + 39 + -3x + 5x + -6x + x2

Combine like terms: -25 + 39 = 14
15 + -5x + x2 = 14 + -3x + 5x + -6x + x2

Combine like terms: -3x + 5x = 2x
15 + -5x + x2 = 14 + 2x + -6x + x2

Combine like terms: 2x + -6x = -4x
15 + -5x + x2 = 14 + -4x + x2

Add '-1x2' to each side of the equation.
15 + -5x + x2 + -1x2 = 14 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
15 + -5x + 0 = 14 + -4x + x2 + -1x2
15 + -5x = 14 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
15 + -5x = 14 + -4x + 0
15 + -5x = 14 + -4x

Solving
15 + -5x = 14 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
15 + -5x + 4x = 14 + -4x + 4x

Combine like terms: -5x + 4x = -1x
15 + -1x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
15 + -1x = 14 + 0
15 + -1x = 14

Add '-15' to each side of the equation.
15 + -15 + -1x = 14 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 14 + -15
-1x = 14 + -15

Combine like terms: 14 + -15 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

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