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

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Solution for 2.5+x(x-2)=x(x-3) equation: 


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

Reorder the terms:
2.5 + x(-2 + x) = x(x + -3)
2.5 + (-2 * x + x * x) = x(x + -3)
2.5 + (-2x + x2) = x(x + -3)

Reorder the terms:
2.5 + -2x + x2 = x(-3 + x)
2.5 + -2x + x2 = (-3 * x + x * x)
2.5 + -2x + x2 = (-3x + x2)

Add '-1x2' to each side of the equation.
2.5 + -2x + x2 + -1x2 = -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2.5 + -2x + 0 = -3x + x2 + -1x2
2.5 + -2x = -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2.5 + -2x = -3x + 0
2.5 + -2x = -3x

Solving
2.5 + -2x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2.5 + -2x + 3x = -3x + 3x

Combine like terms: -2x + 3x = 1x
2.5 + 1x = -3x + 3x

Combine like terms: -3x + 3x = 0
2.5 + 1x = 0

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 1x = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 1x = 0 + -2.5
1x = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
1x = -2.5

Divide each side by '1'.
x = -2.5

Simplifying
x = -2.5

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