What is the answer to 2/9 =(x-10)/(20-5x) ?

The answer to 2/9 =(x-10)/(20-5x) is x= 130/19

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2/9 =(x-10)/(20-5x)

\frac{2}{9} = \frac{x - 10}{20 - 5 x}

x = \frac{130}{19}

Decimal Notation

x = 6.84210 \dots

Solution steps

\frac{2}{9} = \frac{x - 10}{20 - 5 x}

Cross multiply

40 - 10 x = 9 x - 90

Move

40

to the right side

- 10 x = 9 x - 130

Move

9 x

to the left side

- 19 x = - 130

Divide both sides by

- 19

x = \frac{130}{19}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{130}{19}

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

\frac{3 x - 1}{x - 6} = 0

\frac{21}{x} = \frac{6}{2}

\frac{5}{x - 8} = 0

\frac{2 z}{z + 2} = 4

What is the answer to 2/9 =(x-10)/(20-5x) ?
The answer to 2/9 =(x-10)/(20-5x) is x= 130/19
Solve for x: 2/9 =(x-10)/(20-5x)
The solution is x= 130/19