Question

4x/5+x+2=x/2+x+5
plz explain​

Answer 1

Answer:

10.

Step-by-step explanation:

$\sf{ \dfrac{4x}{5} + x + 2 = \dfrac{x}{2} + x + 5}$

Take LCM of denominators on the both sides.

$\sf \implies{ \dfrac{4x + 5x + 10}{5} = \dfrac{x + 2x + 10}{2} }$

Cross-Multiply

$\sf \implies{2(4x + 5x + 10) = 5(x + 2x + 50)}$

Add like terms

$\sf \implies{8x + 10x + 20 = 5x + 10x + 50}$

$\:$

$\sf \implies{18x + 20 = 15x + 50}$

Transpose 15x to LHS and 20 to RHS & Subtract

$\sf \implies{18x - 15x = 50 - 20}$

$\:$

$\sf \implies{3x = 30}$

Divide and Cancel

$\sf \implies{x = \cancel\dfrac{30}{3} }$

$\:$

$\sf \implies{x = 10.}$