# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

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

Learn how to solve trigonometric equations problems step by step online.

$\left(3x+1\right)\left(10x-3\right)=\left(5x+7\right)\left(6x+11\right)$

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation (3x+1)/(5x+7)=(6x+11)/(10x-3). Apply fraction cross-multiplication. Grouping all terms to the left side of the equation. Solve the product -\left(5x+7\right)\left(6x+11\right). Multiplying polynomials 3x+1 and 10x-3.

$x=-\frac{5}{6}$

### Problem Analysis

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

### Main topic:

Trigonometric Equations

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