Question

4(x+2)/5 =7+5x/13 solve it please​

Answer 1

Answer:

$\sf{13}$

Step-by-step explanation:

Given : $\sf{ {\dfrac{4(x + 2)}{5}} = 7 + {\dfrac{5x}{13}} }$

On further solving, we get

→ $\sf{ {\dfrac{4x + 8}{5}} = {\dfrac{(7)(13) + 5x}{13}} }$

→ $\sf{ {\dfrac{4x + 8}{5}} = {\dfrac{91 + 5x}{13}} }$

Cross - multiplying, we get

→ $\sf{13(4x + 8) = 5(91 + 5x)}$

→ $\sf{52x + 104 = 455 + 25x}$

→ $\sf{52x - 25x = 455 - 104}$

→ $\sf{27x = 351}$

→ $\sf{x = 351/27}$

→ x = 13