Question

Solve:⠀
⠀
⠀⠀⠀⠀$\large\sf{5x \: + \dfrac{7}{2} = \dfrac{3}{2}x - 14 }$

Note:
- Need full Explanation
- Don't Spam​

Answer 1

Hope this will help you....

Answer 2

Answer:

• the value of the variable  x is - 5

Step-by-step explanation:

Given :-

${\bigstar{\underline{\boxed{\tt{ 5x + \dfrac{7}{2} = \dfrac{3}{5} x - 14 }}}}}$

To Find :-

• The value of the variable x

Solution :-

⋆ Given equation

$\rightarrow \tt \qquad 5x+\dfrac{7}{2} =\dfrac{3}{2} x-14$

⋆ Transposing the terms

$\rightarrow \tt \qquad 5x-\dfrac{3}{2}x =-14 - \dfrac{7}{2}$

⋆ Simplifying it further

$\rightarrow \tt \qquad \dfrac{10x}{2} -\dfrac{3x}{2} =\dfrac{-28}{\;2} - \dfrac{7}{2}$

$\rightarrow \tt \qquad \dfrac{10x - 3x}{2} =\dfrac{-28 -7}{2}$

$\rightarrow \tt \qquad \dfrac{10x - 3x}{2} =\dfrac{-28 -7}{2}$

$\rightarrow \tt \qquad \dfrac{7x}{2} =\dfrac{-35}{\;\;2}$

⋆ Crossmultiplying the fractions

$\rightarrow \tt \qquad 2( 7x ) = 2( - 35 )$

$\rightarrow \tt \qquad 14x = - 70$

$\rightarrow \tt \qquad x =\cancel\dfrac{-70}{\;14}$

$\rightarrow \tt \qquad {\pink{\boxed{\frak{ x = - 5 }}}\purple\bigstar}$

Verification :-

$\rightarrow \tt \qquad 5(-5)+\dfrac{7}{2} =\dfrac{3}{2} (-5)-14$

$\rightarrow \tt \qquad - 25+\dfrac{7}{2} =\dfrac{-15}{2} -14$

$\rightarrow \tt \qquad \dfrac{- 50 + 7}{2} =\dfrac{-15-28}{2}$

$\rightarrow \tt \qquad {\blue{\boxed{\frak{ \dfrac{- 43}{\;\;2} =\dfrac{-43}{2} }}}\star}$

• Hence verified..!!!