6[-5x-6+2(x-1)]=-3x+4

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Solution for 6[-5x-6+2(x-1)]=-3x+4 equation: 


Simplifying
6[-5x + -6 + 2(x + -1)] = -3x + 4

Reorder the terms:
6[-5x + -6 + 2(-1 + x)] = -3x + 4
6[-5x + -6 + (-1 * 2 + x * 2)] = -3x + 4
6[-5x + -6 + (-2 + 2x)] = -3x + 4

Reorder the terms:
6[-6 + -2 + -5x + 2x] = -3x + 4

Combine like terms: -6 + -2 = -8
6[-8 + -5x + 2x] = -3x + 4

Combine like terms: -5x + 2x = -3x
6[-8 + -3x] = -3x + 4
[-8 * 6 + -3x * 6] = -3x + 4
[-48 + -18x] = -3x + 4

Reorder the terms:
-48 + -18x = 4 + -3x

Solving
-48 + -18x = 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.
-48 + -18x + 3x = 4 + -3x + 3x

Combine like terms: -18x + 3x = -15x
-48 + -15x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
-48 + -15x = 4 + 0
-48 + -15x = 4

Add '48' to each side of the equation.
-48 + 48 + -15x = 4 + 48

Combine like terms: -48 + 48 = 0
0 + -15x = 4 + 48
-15x = 4 + 48

Combine like terms: 4 + 48 = 52
-15x = 52

Divide each side by '-15'.
x = -3.466666667

Simplifying
x = -3.466666667

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