-6(x+2)=4x-2+2(4x+1)

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


Simplifying
-6(x + 2) = 4x + -2 + 2(4x + 1)

Reorder the terms:
-6(2 + x) = 4x + -2 + 2(4x + 1)
(2 * -6 + x * -6) = 4x + -2 + 2(4x + 1)
(-12 + -6x) = 4x + -2 + 2(4x + 1)

Reorder the terms:
-12 + -6x = 4x + -2 + 2(1 + 4x)
-12 + -6x = 4x + -2 + (1 * 2 + 4x * 2)
-12 + -6x = 4x + -2 + (2 + 8x)

Reorder the terms:
-12 + -6x = -2 + 2 + 4x + 8x

Combine like terms: -2 + 2 = 0
-12 + -6x = 0 + 4x + 8x
-12 + -6x = 4x + 8x

Combine like terms: 4x + 8x = 12x
-12 + -6x = 12x

Solving
-12 + -6x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-12 + -6x + -12x = 12x + -12x

Combine like terms: -6x + -12x = -18x
-12 + -18x = 12x + -12x

Combine like terms: 12x + -12x = 0
-12 + -18x = 0

Add '12' to each side of the equation.
-12 + 12 + -18x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -18x = 0 + 12
-18x = 0 + 12

Combine like terms: 0 + 12 = 12
-18x = 12

Divide each side by '-18'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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