2x+6-2(-8x-1)=2(x-3)

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Solution for 2x+6-2(-8x-1)=2(x-3) equation:


Simplifying
2x + 6 + -2(-8x + -1) = 2(x + -3)

Reorder the terms:
2x + 6 + -2(-1 + -8x) = 2(x + -3)
2x + 6 + (-1 * -2 + -8x * -2) = 2(x + -3)
2x + 6 + (2 + 16x) = 2(x + -3)

Reorder the terms:
6 + 2 + 2x + 16x = 2(x + -3)

Combine like terms: 6 + 2 = 8
8 + 2x + 16x = 2(x + -3)

Combine like terms: 2x + 16x = 18x
8 + 18x = 2(x + -3)

Reorder the terms:
8 + 18x = 2(-3 + x)
8 + 18x = (-3 * 2 + x * 2)
8 + 18x = (-6 + 2x)

Solving
8 + 18x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 18x + -2x = -6 + 2x + -2x

Combine like terms: 18x + -2x = 16x
8 + 16x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 16x = -6 + 0
8 + 16x = -6

Add '-8' to each side of the equation.
8 + -8 + 16x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 16x = -6 + -8
16x = -6 + -8

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

Divide each side by '16'.
x = -0.875

Simplifying
x = -0.875

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