Solve for x: 2 over 3 (x - 4) = 2x.

Solution:

Given statement can be written as:

2 / 3(x - 4) =2x

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

6x² - 24x - 2 = 0

2(3x² - 12x -1)=0

3x² - 12x -1 = 0

Hence we obtain a quadratic equation

Solving for x we have

x = [12 ± √(12)² - (4)(3)(-1)]/(2)(3)

x = [12 ± (√156)] / 6

x = 12 ± (√4 × 3 × 13) /6

x = [12 ± (2)(√3 × 13)] / (2 × 3)

x = 2 ± √13/√3

x = 2 ± √(13/3)

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Solve for x: 2 over 3 (x - 4) = 2x.

Summary:

Solving for x: 2 over 3 (x - 4) = 2x we have x = 2 ± √(13/3)