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

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


Simplifying
3(2 + -1x) = 2(2(x + 2))
(2 * 3 + -1x * 3) = 2(2(x + 2))
(6 + -3x) = 2(2(x + 2))

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

Solving
6 + -3x = 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 + -3x + -4x = 8 + 4x + -4x

Combine like terms: -3x + -4x = -7x
6 + -7x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -7x = 8 + 0
6 + -7x = 8

Add '-6' to each side of the equation.
6 + -6 + -7x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 8 + -6
-7x = 8 + -6

Combine like terms: 8 + -6 = 2
-7x = 2

Divide each side by '-7'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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