5x(x-3)-5(x-3)(x+3)=x-13(x+13)

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


Simplifying
5x(x + -3) + -5(x + -3)(x + 3) = x + -13(x + 13)

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

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

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

Multiply (-3 + x) * (3 + x)
-15x + 5x2 + -5(-3(3 + x) + x(3 + x)) = x + -13(x + 13)
-15x + 5x2 + -5((3 * -3 + x * -3) + x(3 + x)) = x + -13(x + 13)
-15x + 5x2 + -5((-9 + -3x) + x(3 + x)) = x + -13(x + 13)
-15x + 5x2 + -5(-9 + -3x + (3 * x + x * x)) = x + -13(x + 13)
-15x + 5x2 + -5(-9 + -3x + (3x + x2)) = x + -13(x + 13)

Combine like terms: -3x + 3x = 0
-15x + 5x2 + -5(-9 + 0 + x2) = x + -13(x + 13)
-15x + 5x2 + -5(-9 + x2) = x + -13(x + 13)
-15x + 5x2 + (-9 * -5 + x2 * -5) = x + -13(x + 13)
-15x + 5x2 + (45 + -5x2) = x + -13(x + 13)

Reorder the terms:
45 + -15x + 5x2 + -5x2 = x + -13(x + 13)

Combine like terms: 5x2 + -5x2 = 0
45 + -15x + 0 = x + -13(x + 13)
45 + -15x = x + -13(x + 13)

Reorder the terms:
45 + -15x = x + -13(13 + x)
45 + -15x = x + (13 * -13 + x * -13)
45 + -15x = x + (-169 + -13x)

Reorder the terms:
45 + -15x = -169 + x + -13x

Combine like terms: x + -13x = -12x
45 + -15x = -169 + -12x

Solving
45 + -15x = -169 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
45 + -15x + 12x = -169 + -12x + 12x

Combine like terms: -15x + 12x = -3x
45 + -3x = -169 + -12x + 12x

Combine like terms: -12x + 12x = 0
45 + -3x = -169 + 0
45 + -3x = -169

Add '-45' to each side of the equation.
45 + -45 + -3x = -169 + -45

Combine like terms: 45 + -45 = 0
0 + -3x = -169 + -45
-3x = -169 + -45

Combine like terms: -169 + -45 = -214
-3x = -214

Divide each side by '-3'.
x = 71.33333333

Simplifying
x = 71.33333333

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