-7[7x-(2x+3)]=-6-[3(3x-4)-2x]

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Solution for -7[7x-(2x+3)]=-6-[3(3x-4)-2x] equation:


Simplifying
-7[7x + -1(2x + 3)] = -6 + -1[3(3x + -4) + -2x]

Reorder the terms:
-7[7x + -1(3 + 2x)] = -6 + -1[3(3x + -4) + -2x]
-7[7x + (3 * -1 + 2x * -1)] = -6 + -1[3(3x + -4) + -2x]
-7[7x + (-3 + -2x)] = -6 + -1[3(3x + -4) + -2x]

Reorder the terms:
-7[-3 + 7x + -2x] = -6 + -1[3(3x + -4) + -2x]

Combine like terms: 7x + -2x = 5x
-7[-3 + 5x] = -6 + -1[3(3x + -4) + -2x]
[-3 * -7 + 5x * -7] = -6 + -1[3(3x + -4) + -2x]
[21 + -35x] = -6 + -1[3(3x + -4) + -2x]

Reorder the terms:
21 + -35x = -6 + -1[3(-4 + 3x) + -2x]
21 + -35x = -6 + -1[(-4 * 3 + 3x * 3) + -2x]
21 + -35x = -6 + -1[(-12 + 9x) + -2x]

Combine like terms: 9x + -2x = 7x
21 + -35x = -6 + -1[-12 + 7x]
21 + -35x = -6 + [-12 * -1 + 7x * -1]
21 + -35x = -6 + [12 + -7x]

Combine like terms: -6 + 12 = 6
21 + -35x = 6 + -7x

Solving
21 + -35x = 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.
21 + -35x + 7x = 6 + -7x + 7x

Combine like terms: -35x + 7x = -28x
21 + -28x = 6 + -7x + 7x

Combine like terms: -7x + 7x = 0
21 + -28x = 6 + 0
21 + -28x = 6

Add '-21' to each side of the equation.
21 + -21 + -28x = 6 + -21

Combine like terms: 21 + -21 = 0
0 + -28x = 6 + -21
-28x = 6 + -21

Combine like terms: 6 + -21 = -15
-28x = -15

Divide each side by '-28'.
x = 0.5357142857

Simplifying
x = 0.5357142857

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