8x+2-2(-4x-1)=2(x-3)

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Solution for 8x+2-2(-4x-1)=2(x-3) equation:


Simplifying
8x + 2 + -2(-4x + -1) = 2(x + -3)

Reorder the terms:
8x + 2 + -2(-1 + -4x) = 2(x + -3)
8x + 2 + (-1 * -2 + -4x * -2) = 2(x + -3)
8x + 2 + (2 + 8x) = 2(x + -3)

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

Combine like terms: 2 + 2 = 4
4 + 8x + 8x = 2(x + -3)

Combine like terms: 8x + 8x = 16x
4 + 16x = 2(x + -3)

Reorder the terms:
4 + 16x = 2(-3 + x)
4 + 16x = (-3 * 2 + x * 2)
4 + 16x = (-6 + 2x)

Solving
4 + 16x = -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.
4 + 16x + -2x = -6 + 2x + -2x

Combine like terms: 16x + -2x = 14x
4 + 14x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 14x = -6 + 0
4 + 14x = -6

Add '-4' to each side of the equation.
4 + -4 + 14x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + 14x = -6 + -4
14x = -6 + -4

Combine like terms: -6 + -4 = -10
14x = -10

Divide each side by '14'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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