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

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


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

Reorder the terms:
2(-4 + 2x) = 2(3x)
(-4 * 2 + 2x * 2) = 2(3x)
(-8 + 4x) = 2(3x)

Remove parenthesis around (3x)
-8 + 4x = 2 * 3x

Multiply 2 * 3
-8 + 4x = 6x

Solving
-8 + 4x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 4x + -6x = 6x + -6x

Combine like terms: 4x + -6x = -2x
-8 + -2x = 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -2x = 0

Add '8' to each side of the equation.
-8 + 8 + -2x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 0 + 8
-2x = 0 + 8

Combine like terms: 0 + 8 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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