3[x-4(x-2)]-6=-4-7

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Solution for 3[x-4(x-2)]-6=-4-7 equation: 


Simplifying
3[x + -4(x + -2)] + -6 = -4 + -7

Reorder the terms:
3[x + -4(-2 + x)] + -6 = -4 + -7
3[x + (-2 * -4 + x * -4)] + -6 = -4 + -7
3[x + (8 + -4x)] + -6 = -4 + -7

Reorder the terms:
3[8 + x + -4x] + -6 = -4 + -7

Combine like terms: x + -4x = -3x
3[8 + -3x] + -6 = -4 + -7
[8 * 3 + -3x * 3] + -6 = -4 + -7
[24 + -9x] + -6 = -4 + -7

Reorder the terms:
24 + -6 + -9x = -4 + -7

Combine like terms: 24 + -6 = 18
18 + -9x = -4 + -7

Combine like terms: -4 + -7 = -11
18 + -9x = -11

Solving
18 + -9x = -11

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -9x = -11 + -18

Combine like terms: 18 + -18 = 0
0 + -9x = -11 + -18
-9x = -11 + -18

Combine like terms: -11 + -18 = -29
-9x = -29

Divide each side by '-9'.
x = 3.222222222

Simplifying
x = 3.222222222

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