What is the answer to (4x-6)/(x-7)= 1/2 ?

The answer to (4x-6)/(x-7)= 1/2 is x= 5/7

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(4x-6)/(x-7)= 1/2

\frac{4 x - 6}{x - 7} = \frac{1}{2}

x = \frac{5}{7}

Decimal Notation

x = 0.71428 \dots

Solution steps

\frac{4 x - 6}{x - 7} = \frac{1}{2}

Cross multiply

8 x - 12 = x - 7

Move

12

to the right side

8 x = x + 5

Move

x

to the left side

7 x = 5

Divide both sides by

7

x = \frac{5}{7}

Verify Solutions

Find undefined (singularity) points:

x = 7

Combine undefined points with solutions:

x = \frac{5}{7}

2 = - 6 + \frac{8}{x ^{2}}

\frac{4}{x} = \frac{7}{3}

\frac{4}{x} = 4 - x

4 = \frac{7}{5} - \frac{2}{c}

4 = \frac{7}{5} - \frac{2}{x}

What is the answer to (4x-6)/(x-7)= 1/2 ?
The answer to (4x-6)/(x-7)= 1/2 is x= 5/7
Solve for x: (4x-6)/(x-7)= 1/2
The solution is x= 5/7