What is the answer to 2x+x(6/x-4)=6x-5.2 ?

The answer to 2x+x(6/x-4)=6x-5.2 is x=1.4

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2x+x(6/x-4)=6x-5.2

2 x + x (\frac{6}{x} - 4) = 6 x - 5.2

x = 1.4

Solution steps

2 x + x (\frac{6}{x} - 4) = 6 x - 5.2

Simplify

x (\frac{6}{x} - 4) : 6 - 4 x

2 x + 6 - 4 x = 6 x - 5.2

Group like terms

2 x - 4 x + 6 = 6 x - 5.2

Add similar elements:

2 x - 4 x = - 2 x

- 2 x + 6 = 6 x - 5.2

Move

6

to the right side

- 2 x = 6 x - 11.2

Move

6 x

to the left side

- 8 x = - 11.2

Divide both sides by

- 8

x = 1.4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1.4

- \frac{5}{x} = 2 x - 11

\frac{x - 6}{4 - x} = \frac{1}{3}

\frac{2}{q} + 2 q = \frac{20}{3}

1.25 = \frac{0.25}{x} (1 - x)

0 = \frac{- 1}{x}

What is the answer to 2x+x(6/x-4)=6x-5.2 ?
The answer to 2x+x(6/x-4)=6x-5.2 is x=1.4
Solve for x: 2x+x(6/x-4)=6x-5.2
The solution is x=1.4