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

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


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

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

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

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

Reorder the terms:
1 + -3x = -4 + -1[4(-3 + 2x) + -3x]
1 + -3x = -4 + -1[(-3 * 4 + 2x * 4) + -3x]
1 + -3x = -4 + -1[(-12 + 8x) + -3x]

Combine like terms: 8x + -3x = 5x
1 + -3x = -4 + -1[-12 + 5x]
1 + -3x = -4 + [-12 * -1 + 5x * -1]
1 + -3x = -4 + [12 + -5x]

Combine like terms: -4 + 12 = 8
1 + -3x = 8 + -5x

Solving
1 + -3x = 8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
1 + -3x + 5x = 8 + -5x + 5x

Combine like terms: -3x + 5x = 2x
1 + 2x = 8 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + 2x = 8 + 0
1 + 2x = 8

Add '-1' to each side of the equation.
1 + -1 + 2x = 8 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 8 + -1
2x = 8 + -1

Combine like terms: 8 + -1 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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