(x+5)(x-3)=x(x-1)

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Solution for (x+5)(x-3)=x(x-1) equation:


Simplifying
(x + 5)(x + -3) = x(x + -1)

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

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

Multiply (5 + x) * (-3 + x)
(5(-3 + x) + x(-3 + x)) = x(x + -1)
((-3 * 5 + x * 5) + x(-3 + x)) = x(x + -1)
((-15 + 5x) + x(-3 + x)) = x(x + -1)
(-15 + 5x + (-3 * x + x * x)) = x(x + -1)
(-15 + 5x + (-3x + x2)) = x(x + -1)

Combine like terms: 5x + -3x = 2x
(-15 + 2x + x2) = x(x + -1)

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

Add '-1x2' to each side of the equation.
-15 + 2x + x2 + -1x2 = -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15 + 2x + 0 = -1x + x2 + -1x2
-15 + 2x = -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15 + 2x = -1x + 0
-15 + 2x = -1x

Solving
-15 + 2x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-15 + 2x + x = -1x + x

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

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

Add '15' to each side of the equation.
-15 + 15 + 3x = 0 + 15

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

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

Divide each side by '3'.
x = 5

Simplifying
x = 5

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