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

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


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

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

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

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

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

Solving
-8 + 2x = 6 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-8 + 2x + 4x = 6 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
-8 + 6x = 6 + 0
-8 + 6x = 6

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

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

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

Divide each side by '6'.
x = 2.333333333

Simplifying
x = 2.333333333

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