What is the answer to 4=(-5x+8)/(2x-6) ?

The answer to 4=(-5x+8)/(2x-6) is x= 32/13

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4=(-5x+8)/(2x-6)

4 = \frac{- 5 x + 8}{2 x - 6}

x = \frac{32}{13}

Decimal Notation

x = 2.46153 \dots

Solution steps

4 = \frac{- 5 x + 8}{2 x - 6}

Multiply both sides by

2 x - 6

4 (2 x - 6) = - 5 x + 8

Expand

4 (2 x - 6) : 8 x - 24

8 x - 24 = - 5 x + 8

Move

24

to the right side

8 x = - 5 x + 32

Move

5 x

to the left side

13 x = 32

Divide both sides by

13

x = \frac{32}{13}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{32}{13}

\frac{6}{2 k - 6} = \frac{1}{3}

\frac{3 x}{x - 2} = \frac{3 x + 10}{x}

\frac{600}{x + 10} - 5 = x + 7

x, \frac{y}{x} = 1

x + 5 = \frac{14 - 1}{2 x}

What is the answer to 4=(-5x+8)/(2x-6) ?
The answer to 4=(-5x+8)/(2x-6) is x= 32/13
Solve for x: 4=(-5x+8)/(2x-6)
The solution is x= 32/13