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

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


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

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

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

Combine like terms: 8x + -4x = 4x
-2 + 4x = 2(3x + -1)

Reorder the terms:
-2 + 4x = 2(-1 + 3x)
-2 + 4x = (-1 * 2 + 3x * 2)
-2 + 4x = (-2 + 6x)

Add '2' to each side of the equation.
-2 + 2 + 4x = -2 + 2 + 6x

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

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

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

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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