What is the answer to (12x)/(14x-2)*100=88.24 ?

The answer to (12x)/(14x-2)*100=88.24 is x= 1103/221

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(12x)/(14x-2)*100=88.24

\frac{12 x}{14 x - 2} \cdot 100 = 88.24

x = \frac{1103}{221}

Decimal Notation

x = 4.99095 \dots

Solution steps

\frac{12 x}{14 x - 2} \cdot 100 = 88.24

Simplify

\frac{12 x}{14 x - 2} \cdot 100 : \frac{600 x}{7 x - 1}

\frac{600 x}{7 x - 1} = 88.24

Multiply both sides by

7 x - 1

600 x = 88.24 (7 x - 1)

Multiply both sides by

100

60000 x = 8824 (7 x - 1)

Expand

8824 (7 x - 1) : 61768 x - 8824

60000 x = 61768 x - 8824

Move

61768 x

to the left side

- 1768 x = - 8824

Divide both sides by

- 1768

x = \frac{1103}{221}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{7}

Combine undefined points with solutions:

x = \frac{1103}{221}

3 x - \frac{x + 3}{x - 1} = 2 x

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

\frac{16 - x ^{2}}{4 - x} = 0

\frac{6 x - 12}{3} + 4 = \frac{18}{x}

\frac{2 x - 3}{x - 3} = \frac{x - 2}{x - 1}

What is the answer to (12x)/(14x-2)*100=88.24 ?
The answer to (12x)/(14x-2)*100=88.24 is x= 1103/221
Solve for x: (12x)/(14x-2)*100=88.24
The solution is x= 1103/221