What is the answer to (4r-6)/(r-7)=2 ?

The answer to (4r-6)/(r-7)=2 is r=-4

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(4r-6)/(r-7)=2

\frac{4 r - 6}{r - 7} = 2

r = - 4

Solution steps

\frac{4 r - 6}{r - 7} = 2

Multiply both sides by

r - 7

4 r - 6 = 2 (r - 7)

Expand

2 (r - 7) : 2 r - 14

4 r - 6 = 2 r - 14

Move

6

to the right side

4 r = 2 r - 8

Move

2 r

to the left side

2 r = - 8

Divide both sides by

2

r = - 4

Verify Solutions

Find undefined (singularity) points:

r = 7

Combine undefined points with solutions:

r = - 4

5 x - \frac{11}{x ^{2}} = 0

\frac{7}{n - 3} = \frac{4}{n}

\frac{n ^{2} ( 12 n - 4 )}{4 n + 5} = 0

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

\frac{1}{x} = 0.1