2x-4=3(x-2)

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Solution for 2x-4=3(x-2) equation:


Simplifying
2x + -4 = 3(x + -2)

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

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

Solving
-4 + 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.
-4 + 2x + -3x = -6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-4 + -1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + -1x = -6 + 0
-4 + -1x = -6

Add '4' to each side of the equation.
-4 + 4 + -1x = -6 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -6 + 4
-1x = -6 + 4

Combine like terms: -6 + 4 = -2
-1x = -2

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

Simplifying
x = 2

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