Question

solve 5x + 7/2 = 3/2x - 14​

Answer 1

Answer:

$\huge{ \: x = \fbox{ \green{- 5}}.} \\ \pink{{ \underline{ \underline \purple {\maltese{ \pmb { \{ - : Answer}}}}}}$

Step-by-step explanation:

$\huge \fbox { \sf{Given,}} \\ ⟼ {†}5x + \frac{7}{2} = \frac{3}{2} x - 14.$

$\sf{On \: rearranging, \tt we \: get.} : - \\⟹ \tt 5x - \frac{3}{2}x = - \frac{7}{2} - 14.$

$\sf{Taking \: L.C.M, we \: get,} \\ ⟹\tt \frac{ 10x−3x}{2}= \frac{ −28−7}{2}$

$\sf{On \: simplifying \: the} \\ \sf { \: \: \: \: \: \: \: \: above \: expression:} - \\ \tt ⟹7x=−35 \\⇒\tt{x}= \green{\fbox{−5}}.$