What is the answer to 4/(3x)+7/4 =6-5/(2x) ?

The answer to 4/(3x)+7/4 =6-5/(2x) is x= 46/51

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4/(3x)+7/4 =6-5/(2x)

\frac{4}{3 x} + \frac{7}{4} = 6 - \frac{5}{2 x}

x = \frac{46}{51}

Decimal

x = 0.90196 \dots

Solution steps

\frac{4}{3 x} + \frac{7}{4} = 6 - \frac{5}{2 x}

Multiply by LCM

16 + 21 x = 72 x - 30

Move

16

to the right side

21 x = 72 x - 46

Move

72 x

to the left side

- 51 x = - 46

Divide both sides by

- 51

x = \frac{46}{51}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{46}{51}

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

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

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

y, x = \frac{y}{y + 1}

\frac{x + 1}{1 - 2 x} = \frac{5}{- 7}

What is the answer to 4/(3x)+7/4 =6-5/(2x) ?
The answer to 4/(3x)+7/4 =6-5/(2x) is x= 46/51
Solve for x: 4/(3x)+7/4 =6-5/(2x)
The solution is x= 46/51