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

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


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

Reorder the terms:
4x + -2(-1 + 3x) = (2) * x + -8
4x + (-1 * -2 + 3x * -2) = (2) * x + -8
4x + (2 + -6x) = (2) * x + -8

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

Combine like terms: 4x + -6x = -2x
2 + -2x = (2) * x + -8

Reorder the terms:
2 + -2x = -8 + 2x

Solving
2 + -2x = -8 + 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.
2 + -2x + -2x = -8 + 2x + -2x

Combine like terms: -2x + -2x = -4x
2 + -4x = -8 + 2x + -2x

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

Add '-2' to each side of the equation.
2 + -2 + -4x = -8 + -2

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

Combine like terms: -8 + -2 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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