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

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Solution for -[8x-(3x+1)]=-6-[3(3x-4)-2x] equation:


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

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

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

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

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

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

Combine like terms: -6 + 12 = 6
1 + -5x = 6 + -7x

Solving
1 + -5x = 6 + -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.
1 + -5x + 7x = 6 + -7x + 7x

Combine like terms: -5x + 7x = 2x
1 + 2x = 6 + -7x + 7x

Combine like terms: -7x + 7x = 0
1 + 2x = 6 + 0
1 + 2x = 6

Add '-1' to each side of the equation.
1 + -1 + 2x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 6 + -1
2x = 6 + -1

Combine like terms: 6 + -1 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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