-[8x-(3x+3)]=6-[3(3x-4)-2x]

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Solution for -[8x-(3x+3)]=6-[3(3x-4)-2x] equation:


Simplifying
-1[8x + -1(3x + 3)] = 6 + -1[3(3x + -4) + -2x]

Reorder the terms:
-1[8x + -1(3 + 3x)] = 6 + -1[3(3x + -4) + -2x]
-1[8x + (3 * -1 + 3x * -1)] = 6 + -1[3(3x + -4) + -2x]
-1[8x + (-3 + -3x)] = 6 + -1[3(3x + -4) + -2x]

Reorder the terms:
-1[-3 + 8x + -3x] = 6 + -1[3(3x + -4) + -2x]

Combine like terms: 8x + -3x = 5x
-1[-3 + 5x] = 6 + -1[3(3x + -4) + -2x]
[-3 * -1 + 5x * -1] = 6 + -1[3(3x + -4) + -2x]
[3 + -5x] = 6 + -1[3(3x + -4) + -2x]

Reorder the terms:
3 + -5x = 6 + -1[3(-4 + 3x) + -2x]
3 + -5x = 6 + -1[(-4 * 3 + 3x * 3) + -2x]
3 + -5x = 6 + -1[(-12 + 9x) + -2x]

Combine like terms: 9x + -2x = 7x
3 + -5x = 6 + -1[-12 + 7x]
3 + -5x = 6 + [-12 * -1 + 7x * -1]
3 + -5x = 6 + [12 + -7x]

Combine like terms: 6 + 12 = 18
3 + -5x = 18 + -7x

Solving
3 + -5x = 18 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
3 + -5x + 7x = 18 + -7x + 7x

Combine like terms: -5x + 7x = 2x
3 + 2x = 18 + -7x + 7x

Combine like terms: -7x + 7x = 0
3 + 2x = 18 + 0
3 + 2x = 18

Add '-3' to each side of the equation.
3 + -3 + 2x = 18 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 18 + -3
2x = 18 + -3

Combine like terms: 18 + -3 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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