What is the answer to (3x+1)/(5x+7)=(6x+11)/(10x-3) ?

The answer to (3x+1)/(5x+7)=(6x+11)/(10x-3) is x=-5/6

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(3x+1)/(5x+7)=(6x+11)/(10x-3)

\frac{3 x + 1}{5 x + 7} = \frac{6 x + 11}{10 x - 3}

x = - \frac{5}{6}

Decimal Notation

x = - 0.83333 \dots

Solution steps

\frac{3 x + 1}{5 x + 7} = \frac{6 x + 11}{10 x - 3}

Cross multiply

30 x^{2} + x - 3 = 30 x^{2} + 97 x + 77

Move

3

to the right side

30 x^{2} + x = 30 x^{2} + 97 x + 80

Subtract

30 x^{2} + 97 x

from both sides

30 x^{2} + x - (30 x^{2} + 97 x) = 30 x^{2} + 97 x + 80 - (30 x^{2} + 97 x)

Simplify

- 96 x = 80

Divide both sides by

- 96

x = - \frac{5}{6}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{7}{5}, x = \frac{3}{10}

Combine undefined points with solutions:

x = - \frac{5}{6}

x, m = \frac{y ^{2} - y ^{1}}{x ^{2} - x ^{1}}

- \frac{1}{x ^{2}} - \frac{2}{x ^{3}} = 0

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

\frac{- 54}{w} = 6

y, x = y^{- 3}

What is the answer to (3x+1)/(5x+7)=(6x+11)/(10x-3) ?
The answer to (3x+1)/(5x+7)=(6x+11)/(10x-3) is x=-5/6
Solve for x: (3x+1)/(5x+7)=(6x+11)/(10x-3)
The solution is x=-5/6