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

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


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

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

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

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

Combine like terms: 6x + 3x = 9x
6[2 + 9x] = -3x + -4
[2 * 6 + 9x * 6] = -3x + -4
[12 + 54x] = -3x + -4

Reorder the terms:
12 + 54x = -4 + -3x

Solving
12 + 54x = -4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
12 + 54x + 3x = -4 + -3x + 3x

Combine like terms: 54x + 3x = 57x
12 + 57x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 57x = -4 + 0
12 + 57x = -4

Add '-12' to each side of the equation.
12 + -12 + 57x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + 57x = -4 + -12
57x = -4 + -12

Combine like terms: -4 + -12 = -16
57x = -16

Divide each side by '57'.
x = -0.2807017544

Simplifying
x = -0.2807017544

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