Question

solve: x/3 + 5/2 = -3/2​

Answer 1

ANSWER : In the above picture the answer is given.

Answer 2

Answer:

$\rm \: Value \: of \: {\bf x} \: is \bf -12$

Step-by-step explanation:

$\rm \dfrac{x}{3} + \dfrac{5}{2} = \dfrac{ - 3}{2}$

$\rm \: \longmapsto \dfrac{2x + 15}{6} = \dfrac{ - 3}{2}$

$\rm \: \longmapsto \dfrac{2x }{6} + \dfrac{15}{6} = \dfrac{ - 3}{2}$

Taking 15/6 to right side , it's sign become negative that is -15/6

$\rm \: \longmapsto \dfrac{2x }{6} = \dfrac{ - 3}{2} - \dfrac{15}{6}$

$\rm \: \longmapsto \dfrac{2x }{6} = \dfrac{ - 9 - 15}{6}$

$\rm \: \longmapsto \dfrac{2x }{6} = \cancel\dfrac{ - 24}{6}$

$\rm\longmapsto \dfrac{2x}{6} = - 4$

Now , 6 will go to right side and now it's sign would change that means not subtraction but Multiplication with -4 .

$\rm\longmapsto 2x = - 4 \times 6$

$\rm\longmapsto 2x = -2 4$

$\rm\longmapsto x = \cancel \dfrac{ - 24}{2}$

$\rm \longmapsto \: x = - 12$