4x-2=6(2x-4)-8

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Solution for 4x-2=6(2x-4)-8 equation:


Simplifying
4x + -2 = 6(2x + -4) + -8

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

Reorder the terms:
-2 + 4x = 6(-4 + 2x) + -8
-2 + 4x = (-4 * 6 + 2x * 6) + -8
-2 + 4x = (-24 + 12x) + -8

Reorder the terms:
-2 + 4x = -24 + -8 + 12x

Combine like terms: -24 + -8 = -32
-2 + 4x = -32 + 12x

Solving
-2 + 4x = -32 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-2 + 4x + -12x = -32 + 12x + -12x

Combine like terms: 4x + -12x = -8x
-2 + -8x = -32 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -8x = -32 + 0
-2 + -8x = -32

Add '2' to each side of the equation.
-2 + 2 + -8x = -32 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = -32 + 2
-8x = -32 + 2

Combine like terms: -32 + 2 = -30
-8x = -30

Divide each side by '-8'.
x = 3.75

Simplifying
x = 3.75

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