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

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


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

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

Solving
2 + -2x = -6 + 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 + -2x + -3x = -6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
2 + -5x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -5x = -6 + 0
2 + -5x = -6

Add '-2' to each side of the equation.
2 + -2 + -5x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -6 + -2
-5x = -6 + -2

Combine like terms: -6 + -2 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

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