Question

(3x)/(4)-(2x+5)/(3)=(5)/(2)

Answer 1

Answer:

Step-by-step explanation:

\frac{3x}{4 - 2x}  -  \frac{2x + 5}{3}  =  \frac{5}{2 }  

\frac{3x }{4 - 2x}  =  \frac{5}{2}  -  \frac{5}{3}  

\frac{3x}{4 - 2x}  =  \frac{5}{6}  

18x = 5(4 - 2x)

18x = 20 - 10x

18x + 10x = 20

38x = 20

x =  \frac{20}{38}  

x =  \frac{10}{16}  

x =  \frac{5}{8}  

Answer 2

Concept: This is a simple question on the linear equation. First, we will simplify the equation and then find the value of 'x'. Here we have to simplify the fraction to make the equation simplify.

Given: $\frac{3x}{4} -\frac{2x+5}{3} = \frac{5}{2}$

To find: Solve it for 'x'

Solution:

  $\frac{3x}{4} -\frac{2x+5}{3} = \frac{5}{2}$

⇒ $\frac{9x-8x-20}{12} = \frac{5}{2}$

⇒ $\frac{x-20}{12}=\frac{5}{2}$

⇒ $\frac{x-20}{6} = 5$

⇒$x-20=30$

⇒ x= 50

Hence the answer of this question is 50