X-2(X-2)=2(2X-5)

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Solution for X-2(X-2)=2(2X-5) equation:


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

Reorder the terms:
X + -2(-2 + X) = 2(2X + -5)
X + (-2 * -2 + X * -2) = 2(2X + -5)
X + (4 + -2X) = 2(2X + -5)

Reorder the terms:
4 + X + -2X = 2(2X + -5)

Combine like terms: X + -2X = -1X
4 + -1X = 2(2X + -5)

Reorder the terms:
4 + -1X = 2(-5 + 2X)
4 + -1X = (-5 * 2 + 2X * 2)
4 + -1X = (-10 + 4X)

Solving
4 + -1X = -10 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
4 + -1X + -4X = -10 + 4X + -4X

Combine like terms: -1X + -4X = -5X
4 + -5X = -10 + 4X + -4X

Combine like terms: 4X + -4X = 0
4 + -5X = -10 + 0
4 + -5X = -10

Add '-4' to each side of the equation.
4 + -4 + -5X = -10 + -4

Combine like terms: 4 + -4 = 0
0 + -5X = -10 + -4
-5X = -10 + -4

Combine like terms: -10 + -4 = -14
-5X = -14

Divide each side by '-5'.
X = 2.8

Simplifying
X = 2.8

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