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

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


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

Reorder the terms:
2(-2 + x) = 2(2x + -3)
(-2 * 2 + x * 2) = 2(2x + -3)
(-4 + 2x) = 2(2x + -3)

Reorder the terms:
-4 + 2x = 2(-3 + 2x)
-4 + 2x = (-3 * 2 + 2x * 2)
-4 + 2x = (-6 + 4x)

Solving
-4 + 2x = -6 + 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 + 2x + -4x = -6 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-4 + -2x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + -2x = -6 + 0
-4 + -2x = -6

Add '4' to each side of the equation.
-4 + 4 + -2x = -6 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = -6 + 4
-2x = -6 + 4

Combine like terms: -6 + 4 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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