# 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 rational equations problems step by step online.

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

Learn how to solve rational equations problems step by step online. Solve the equation (3x+1)/(5x+7)=(6x+11)/(10x-3). Multiply both sides of the equation by 5x+7. Grouping all terms to the left side of the equation. Multiplying polynomials 6x+11 and 5x+7. Adding -55x and -42x.

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

### Main topic:

Rational equations

15

### Time to solve it:

~ 0.2 s (SnapXam)