Question

solve the problem with a photo​

Answer 1

Answer:

2(4x-3)=3(2x+6)

8x-6=6x+18

8x-6x=18-6

2x=12

x=12/2

x=6

Step-by-step explanation:

hope it helps you mate✌️❣️

Answer 2

Answer:

$\large \underline{\boxed{\mathsf{x = 12}}}$

Step-by-step explanation:

$\large \underline{\underline{\textbf{Given to...}}}$

$\mathsf{Solve, \: \dfrac{4x-3}{2x+6}\: =\: \dfrac{3}{2}}$

$\large \underline{\underline{\textbf{Solution:}}}$

In such questions were we have only fraction in both LHS and RHS we will do cross multiplication

for simplicity. ie:- Multiplying Numerator of LHS with Denominator of RHS and vice-versa...

Thus by cross multiplication we have..

$\large \dfrac{4x-3}{2x+6}\dfrac{\searrow}{\nearrow}\!\dfrac{\swarrow}{\nwarrow}\dfrac{3}{2}$

That is

$\mathsf{2(4x-3) = 3(2x+6)}$

$\implies \mathsf{8x -6 = 6x+18}$

Taking 6x to LHS and (-6) to RHS we have

$\implies \mathsf{8x -6x = 18+6}$

$\implies \mathsf{2x = 24}$

$\implies \mathsf{x= 12}$

$\underline{\textbf{Therefore we have required answer}}$

$\boxed{\mathsf{\underline{x = 12}}}$