-3(-8x+2)-2x=6(x-2)-2

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Solution for -3(-8x+2)-2x=6(x-2)-2 equation:


Simplifying
-3(-8x + 2) + -2x = 6(x + -2) + -2

Reorder the terms:
-3(2 + -8x) + -2x = 6(x + -2) + -2
(2 * -3 + -8x * -3) + -2x = 6(x + -2) + -2
(-6 + 24x) + -2x = 6(x + -2) + -2

Combine like terms: 24x + -2x = 22x
-6 + 22x = 6(x + -2) + -2

Reorder the terms:
-6 + 22x = 6(-2 + x) + -2
-6 + 22x = (-2 * 6 + x * 6) + -2
-6 + 22x = (-12 + 6x) + -2

Reorder the terms:
-6 + 22x = -12 + -2 + 6x

Combine like terms: -12 + -2 = -14
-6 + 22x = -14 + 6x

Solving
-6 + 22x = -14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 22x + -6x = -14 + 6x + -6x

Combine like terms: 22x + -6x = 16x
-6 + 16x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + 16x = -14 + 0
-6 + 16x = -14

Add '6' to each side of the equation.
-6 + 6 + 16x = -14 + 6

Combine like terms: -6 + 6 = 0
0 + 16x = -14 + 6
16x = -14 + 6

Combine like terms: -14 + 6 = -8
16x = -8

Divide each side by '16'.
x = -0.5

Simplifying
x = -0.5

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