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

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


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

Solving
12 + -3x = -6 + 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.
12 + -3x + -3x = -6 + 3x + -3x

Combine like terms: -3x + -3x = -6x
12 + -6x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -6x = -6 + 0
12 + -6x = -6

Add '-12' to each side of the equation.
12 + -12 + -6x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = -6 + -12
-6x = -6 + -12

Combine like terms: -6 + -12 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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