Question

9/2(8-x)+36=102-5/2(3x+24)

Answer 1

What is the available answers?

Answer 2

Answer:

x=-10

Step-by-step explanation:

Given : Equation-  $\frac{9}{2}(8-x)+36=102-\frac{5}{2}(3x+24)$

Simplifying :

Step 1 : Write the equation

$\frac{9}{2}(8-x)+36=102-\frac{5}{2}(3x+24)$

Step 2 : Multiply 2 both side

$9(8-x)+36\times2=102\times2-5(3x+24)$

Step 3 :  solve

$72-9x+72=204-15x-120$

⇒ $144-9x=-15x+84$

⇒ $-9x+15x=84-144$

⇒ $6x=-60$

⇒ $x=\frac{-60}{6}$

⇒ $x=-10$