Question

Solve the linear equation :
5x +7/2=3/2x-14​

Answer 1

Answer:

$\bold\red{x = -3.2}$

Step-by-step explanation:

Given,

A linear equation,

$5x + \frac{7}{2} = \frac{3}{2} x - 14 \\ \\ = > 5x - \frac{3}{2} = - 14 - \frac{7}{2}$

Now,

taking LCM of Denominator and solving,

we get,

$= > \frac{(2 \times 5x )- 3}{2} = - \frac{(2 \times 14) + 7}{2} \\ \\ = > \frac{10x - 3}{2} = - (\frac{28 + 7}{ 2}) \\ \\ = > 10x - 3 = - 35 \\ \\ = > 10x = - 35 + 3 \\ \\ = > 10x = - 32 \\ \\ = > x = - \frac{32}{10} \\ \\ = > x = - 3.2$

Hence,

x = - 3.2