(x+5)(x-2)=x(x+5)

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Solution for (x+5)(x-2)=x(x+5) equation:


Simplifying
(x + 5)(x + -2) = x(x + 5)

Reorder the terms:
(5 + x)(x + -2) = x(x + 5)

Reorder the terms:
(5 + x)(-2 + x) = x(x + 5)

Multiply (5 + x) * (-2 + x)
(5(-2 + x) + x(-2 + x)) = x(x + 5)
((-2 * 5 + x * 5) + x(-2 + x)) = x(x + 5)
((-10 + 5x) + x(-2 + x)) = x(x + 5)
(-10 + 5x + (-2 * x + x * x)) = x(x + 5)
(-10 + 5x + (-2x + x2)) = x(x + 5)

Combine like terms: 5x + -2x = 3x
(-10 + 3x + x2) = x(x + 5)

Reorder the terms:
-10 + 3x + x2 = x(5 + x)
-10 + 3x + x2 = (5 * x + x * x)
-10 + 3x + x2 = (5x + x2)

Add '-1x2' to each side of the equation.
-10 + 3x + x2 + -1x2 = 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + 3x + 0 = 5x + x2 + -1x2
-10 + 3x = 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + 3x = 5x + 0
-10 + 3x = 5x

Solving
-10 + 3x = 5x

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.
-10 + 3x + -5x = 5x + -5x

Combine like terms: 3x + -5x = -2x
-10 + -2x = 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -2x = 0

Add '10' to each side of the equation.
-10 + 10 + -2x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = 0 + 10
-2x = 0 + 10

Combine like terms: 0 + 10 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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