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

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


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

Reorder the terms:
2(-3 + x) = 2(4 + -2x)
(-3 * 2 + x * 2) = 2(4 + -2x)
(-6 + 2x) = 2(4 + -2x)
-6 + 2x = (4 * 2 + -2x * 2)
-6 + 2x = (8 + -4x)

Solving
-6 + 2x = 8 + -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.
-6 + 2x + 4x = 8 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
-6 + 6x = 8 + 0
-6 + 6x = 8

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

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

Combine like terms: 8 + 6 = 14
6x = 14

Divide each side by '6'.
x = 2.333333333

Simplifying
x = 2.333333333

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