(x+2)(x-3)=x(x-2)

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


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

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

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

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

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

Reorder the terms:
-6 + -1x + x2 = x(-2 + x)
-6 + -1x + x2 = (-2 * x + x * x)
-6 + -1x + x2 = (-2x + x2)

Add '-1x2' to each side of the equation.
-6 + -1x + x2 + -1x2 = -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -1x + 0 = -2x + x2 + -1x2
-6 + -1x = -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -1x = -2x + 0
-6 + -1x = -2x

Solving
-6 + -1x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + -1x + 2x = -2x + 2x

Combine like terms: -1x + 2x = 1x
-6 + 1x = -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 1x = 0

Add '6' to each side of the equation.
-6 + 6 + 1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 0 + 6
1x = 0 + 6

Combine like terms: 0 + 6 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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