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

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


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

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

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

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

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

Combine like terms: 9x + -3x = 6x
1 + -4x = -6[-12 + 6x]
1 + -4x = [-12 * -6 + 6x * -6]
1 + -4x = [72 + -36x]

Solving
1 + -4x = 72 + -36x

Solving for variable 'x'.

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

Add '36x' to each side of the equation.
1 + -4x + 36x = 72 + -36x + 36x

Combine like terms: -4x + 36x = 32x
1 + 32x = 72 + -36x + 36x

Combine like terms: -36x + 36x = 0
1 + 32x = 72 + 0
1 + 32x = 72

Add '-1' to each side of the equation.
1 + -1 + 32x = 72 + -1

Combine like terms: 1 + -1 = 0
0 + 32x = 72 + -1
32x = 72 + -1

Combine like terms: 72 + -1 = 71
32x = 71

Divide each side by '32'.
x = 2.21875

Simplifying
x = 2.21875

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