Question

Solve: 5x +7/2=2/2x-14​

Answer 1

Answer:

x=2.625

Step-by-step explanation:

5x+3.5=1x-14

5x+3.5-1x-14=0

4x-10.5=0

4x=10.5

x=10.5÷4

x=2.625

Answer 2

Answer:

Solution :

$\bold{5x + \frac{7}{2} = \frac{3}{2} x - 14}$

$5x = \frac{3}{2} x - 14 - \frac{7}{2}$

$5x - \frac{3}{2}x = - 14 - \frac{7}{2}$

Multiplying both the sides by 2

$2(5x - \frac{3}{2} x) = 2( - 14 - \frac{7}{2} )$

$10x - 3x = - 28 - 7$

$7x = - 35$

$x = - \frac{35}{7}$

$\boxed{\pink{x = - 5}}$

_____________________

$\bold{\green{Verification :-}}$

LHS -

$5x + \frac{7}{2}$

$5( - 5) + \frac{7}{2} = - 25 + \frac{7}{2}$

$\frac{ - 50 + 7}{2} = \frac{ - 43}{2}$

RHS -

$\frac{3x}{2} - 14$

$\frac{3 - ( - 5)}{2} - 14$

$\frac{ - 15 - 28}{2} = \frac{ - 43}{2}$

LHS = RHS

$\bold{\red{Hence\:Verified}}$