What is the answer to (x+7)/(x-2)= 2/9 ?

The answer to (x+7)/(x-2)= 2/9 is x=-67/7

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(x+7)/(x-2)= 2/9

\frac{x + 7}{x - 2} = \frac{2}{9}

x = - \frac{67}{7}

Decimal Notation

x = - 9.57142 \dots

Solution steps

\frac{x + 7}{x - 2} = \frac{2}{9}

Cross multiply

9 x + 63 = 2 x - 4

Move

63

to the right side

9 x = 2 x - 67

Move

2 x

to the left side

7 x = - 67

Divide both sides by

7

x = - \frac{67}{7}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - \frac{67}{7}

\frac{2}{8} = \frac{n + 4}{n - 4}

x, F = - \frac{k}{x ^{2}}

C, \frac{1 + TC}{C} = 1 + T

\frac{3 x + 5}{( x - 1 ) ( x ^{4} + 7 )} = 0

\frac{p + 2}{p + 7} = \frac{3}{6}

What is the answer to (x+7)/(x-2)= 2/9 ?
The answer to (x+7)/(x-2)= 2/9 is x=-67/7
Solve for x: (x+7)/(x-2)= 2/9
The solution is x=-67/7