-[9x-(2x+6)]=-3-[4(3x-4)-3x]

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Solution for -[9x-(2x+6)]=-3-[4(3x-4)-3x] equation:


Simplifying
-1[9x + -1(2x + 6)] = -3 + -1[4(3x + -4) + -3x]

Reorder the terms:
-1[9x + -1(6 + 2x)] = -3 + -1[4(3x + -4) + -3x]
-1[9x + (6 * -1 + 2x * -1)] = -3 + -1[4(3x + -4) + -3x]
-1[9x + (-6 + -2x)] = -3 + -1[4(3x + -4) + -3x]

Reorder the terms:
-1[-6 + 9x + -2x] = -3 + -1[4(3x + -4) + -3x]

Combine like terms: 9x + -2x = 7x
-1[-6 + 7x] = -3 + -1[4(3x + -4) + -3x]
[-6 * -1 + 7x * -1] = -3 + -1[4(3x + -4) + -3x]
[6 + -7x] = -3 + -1[4(3x + -4) + -3x]

Reorder the terms:
6 + -7x = -3 + -1[4(-4 + 3x) + -3x]
6 + -7x = -3 + -1[(-4 * 4 + 3x * 4) + -3x]
6 + -7x = -3 + -1[(-16 + 12x) + -3x]

Combine like terms: 12x + -3x = 9x
6 + -7x = -3 + -1[-16 + 9x]
6 + -7x = -3 + [-16 * -1 + 9x * -1]
6 + -7x = -3 + [16 + -9x]

Combine like terms: -3 + 16 = 13
6 + -7x = 13 + -9x

Solving
6 + -7x = 13 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
6 + -7x + 9x = 13 + -9x + 9x

Combine like terms: -7x + 9x = 2x
6 + 2x = 13 + -9x + 9x

Combine like terms: -9x + 9x = 0
6 + 2x = 13 + 0
6 + 2x = 13

Add '-6' to each side of the equation.
6 + -6 + 2x = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 13 + -6
2x = 13 + -6

Combine like terms: 13 + -6 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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