Question

The solution of the equation x+5/5x+8=11/38 is

Answer 1

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Answer 2

Answer:

the solution of the equation is x = 6

Step-by-step explanation:

Given :

Given an equation

$\frac{x+5}{5x+8}=\frac{11}{38}$

To Find :

The solution of the equation or the value of the variable 'x'

Solution :

since we are given the equation

$\frac{x+5}{5x+8}=\frac{11}{38}$

cross multiplying the LHS and RHS of the given equation we get

$38\ \text{x}\ (x+5)=11\ \text{x}\ (5x+8)$

$38x+38\ \text{x}\ 5=11\ \text{x}\ 5x+11\ \text{x}\ 8$

$38x+190=55x+88$

Transfer the terms with variable x to the LHS and remaining terms to the RHS

$55x-38x=190-88$

$17x=102$

$x=\frac{102}{17}$

x = 6

Hence we have calculated that the solution of the equation is x = 6

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