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 = 8x
2 + 8x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 8x = -22 + 0
2 + 8x = -22

Add '-2' to each side of the equation.
2 + -2 + 8x = -22 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = -22 + -2
8x = -22 + -2

Combine like terms: -22 + -2 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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