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

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


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

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

Combine like terms: 3 + 8 = 11
11 + -2x = 3(3 + -1x)
11 + -2x = (3 * 3 + -1x * 3)
11 + -2x = (9 + -3x)

Solving
11 + -2x = 9 + -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.
11 + -2x + 3x = 9 + -3x + 3x

Combine like terms: -2x + 3x = 1x
11 + 1x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + 1x = 9 + 0
11 + 1x = 9

Add '-11' to each side of the equation.
11 + -11 + 1x = 9 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 9 + -11
1x = 9 + -11

Combine like terms: 9 + -11 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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