What is the answer to (x-1)/(2x+5)= 7/5 ?

The answer to (x-1)/(2x+5)= 7/5 is x=-40/9

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(x-1)/(2x+5)= 7/5

\frac{x - 1}{2 x + 5} = \frac{7}{5}

x = - \frac{40}{9}

Decimal Notation

x = - 4.44444 \dots

Solution steps

\frac{x - 1}{2 x + 5} = \frac{7}{5}

Cross multiply

5 x - 5 = 14 x + 35

Move

5

to the right side

5 x = 14 x + 40

Move

14 x

to the left side

- 9 x = 40

Divide both sides by

- 9

x = - \frac{40}{9}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{2}

Combine undefined points with solutions:

x = - \frac{40}{9}

- \frac{5}{9} = \frac{16}{x}

c, g = \frac{t}{c - p}

\frac{1}{x} = \frac{2}{4}

\frac{x + 1}{3} = \frac{10}{x}

2 = \frac{4 x y}{2 x y}

What is the answer to (x-1)/(2x+5)= 7/5 ?
The answer to (x-1)/(2x+5)= 7/5 is x=-40/9
Solve for x: (x-1)/(2x+5)= 7/5
The solution is x=-40/9