-[7x-(3x+1)]=-3-[3(3x-3)-3x]

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Solution for -[7x-(3x+1)]=-3-[3(3x-3)-3x] equation:


Simplifying
-1[7x + -1(3x + 1)] = -3 + -1[3(3x + -3) + -3x]

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

Reorder the terms:
-1[-1 + 7x + -3x] = -3 + -1[3(3x + -3) + -3x]

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

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

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

Combine like terms: -3 + 9 = 6
1 + -4x = 6 + -6x

Solving
1 + -4x = 6 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
1 + -4x + 6x = 6 + -6x + 6x

Combine like terms: -4x + 6x = 2x
1 + 2x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 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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