What is the answer to (3x+2)/4 =5-(9x+14)/(12x) ?

The answer to (3x+2)/4 =5-(9x+14)/(12x) is x= 14/3 ,x= 1/3

Solve for x: (3x+2)/4 =5-(9x+14)/(12x)

The solution is x= 14/3 ,x= 1/3

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\frac{3 x + 2}{4} = 5 - \frac{9 x + 14}{12 x}

x = \frac{14}{3}, x = \frac{1}{3}

Decimal Notation

x = 4.66666 \dots, x = 0.33333 \dots

Solution steps

\frac{3 x + 2}{4} = 5 - \frac{9 x + 14}{12 x}

Multiply by LCM

3 x (3 x + 2) = 60 x - (9 x + 14)

Solve

3 x (3 x + 2) = 60 x - (9 x + 14) : x = \frac{14}{3}, x = \frac{1}{3}

x = \frac{14}{3}, x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{14}{3}, x = \frac{1}{3}

\frac{0.001}{y - 0.333} = 3

\frac{( 3 x - 2 )}{3 + 4 x} = 6

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

2 + \frac{5}{x - 4} = \frac{x + 1}{x - 4}

\frac{15}{- 6 x} = - 4

What is the answer to (3x+2)/4 =5-(9x+14)/(12x) ?
The answer to (3x+2)/4 =5-(9x+14)/(12x) is x= 14/3 ,x= 1/3
Solve for x: (3x+2)/4 =5-(9x+14)/(12x)
The solution is x= 14/3 ,x= 1/3