What is the answer to 1/(3(6x+12)-2(x-7))=19 ?

The answer to 1/(3(6x+12)-2(x-7))=19 is x=-949/304

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/(3(6x+12)-2(x-7))=19

\frac{1}{3 ( 6 x + 12 ) - 2 ( x - 7 )} = 19

x = - \frac{949}{304}

Decimal Notation

x = - 3.12171 \dots

Solution steps

\frac{1}{3 ( 6 x + 12 ) - 2 ( x - 7 )} = 19

Simplify

\frac{1}{3 ( 6 x + 12 ) - 2 ( x - 7 )} : \frac{1}{16 x + 50}

\frac{1}{16 x + 50} = 19

Multiply both sides by

16 x + 50

1 = 19 (16 x + 50)

Switch sides

19 (16 x + 50) = 1

Divide both sides by

19

16 x + 50 = \frac{1}{19}

Move

50

to the right side

16 x = - \frac{949}{19}

Divide both sides by

16

x = - \frac{949}{304}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{25}{8}

Combine undefined points with solutions:

x = - \frac{949}{304}

\frac{x - 5}{5 x} + 1 = \frac{x + 3}{x}

10 0^{2} \frac{1}{x} = 2000

\frac{6}{2 w} = - 24

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

\frac{( x ^{2} - 1 )}{( x - 1 )} = 2

What is the answer to 1/(3(6x+12)-2(x-7))=19 ?
The answer to 1/(3(6x+12)-2(x-7))=19 is x=-949/304
Solve for x: 1/(3(6x+12)-2(x-7))=19
The solution is x=-949/304