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

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


Simplifying
2(3 + -2(x + -4)) = 3(4 + -1x)

Reorder the terms:
2(3 + -2(-4 + x)) = 3(4 + -1x)
2(3 + (-4 * -2 + x * -2)) = 3(4 + -1x)
2(3 + (8 + -2x)) = 3(4 + -1x)

Combine like terms: 3 + 8 = 11
2(11 + -2x) = 3(4 + -1x)
(11 * 2 + -2x * 2) = 3(4 + -1x)
(22 + -4x) = 3(4 + -1x)
22 + -4x = (4 * 3 + -1x * 3)
22 + -4x = (12 + -3x)

Solving
22 + -4x = 12 + -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.
22 + -4x + 3x = 12 + -3x + 3x

Combine like terms: -4x + 3x = -1x
22 + -1x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
22 + -1x = 12 + 0
22 + -1x = 12

Add '-22' to each side of the equation.
22 + -22 + -1x = 12 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 12 + -22
-1x = 12 + -22

Combine like terms: 12 + -22 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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