-2[6x+1]=4[x-5]-2

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


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

Reorder the terms:
-2[1 + 6x] = 4[x + -5] + -2
[1 * -2 + 6x * -2] = 4[x + -5] + -2
[-2 + -12x] = 4[x + -5] + -2

Reorder the terms:
-2 + -12x = 4[-5 + x] + -2
-2 + -12x = [-5 * 4 + x * 4] + -2
-2 + -12x = [-20 + 4x] + -2

Reorder the terms:
-2 + -12x = -20 + -2 + 4x

Combine like terms: -20 + -2 = -22
-2 + -12x = -22 + 4x

Solving
-2 + -12x = -22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + -12x + -4x = -22 + 4x + -4x

Combine like terms: -12x + -4x = -16x
-2 + -16x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -16x = -22 + 0
-2 + -16x = -22

Add '2' to each side of the equation.
-2 + 2 + -16x = -22 + 2

Combine like terms: -2 + 2 = 0
0 + -16x = -22 + 2
-16x = -22 + 2

Combine like terms: -22 + 2 = -20
-16x = -20

Divide each side by '-16'.
x = 1.25

Simplifying
x = 1.25

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