3-6(2-x)=2(4x+2)

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Solution for 3-6(2-x)=2(4x+2) equation:


Simplifying
3 + -6(2 + -1x) = 2(4x + 2)
3 + (2 * -6 + -1x * -6) = 2(4x + 2)
3 + (-12 + 6x) = 2(4x + 2)

Combine like terms: 3 + -12 = -9
-9 + 6x = 2(4x + 2)

Reorder the terms:
-9 + 6x = 2(2 + 4x)
-9 + 6x = (2 * 2 + 4x * 2)
-9 + 6x = (4 + 8x)

Solving
-9 + 6x = 4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-9 + 6x + -8x = 4 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-9 + -2x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-9 + -2x = 4 + 0
-9 + -2x = 4

Add '9' to each side of the equation.
-9 + 9 + -2x = 4 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 4 + 9
-2x = 4 + 9

Combine like terms: 4 + 9 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

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