Question

4x + 7/2 = 3/2x - 13​

Answer 1

Answer:

4x*2x-13=7/2*3/2x

8x-52=21/4x

4x(8x-52) =21

32x^2-208x-21

Answer 2

Question :

4x + 7/2 = 3/2x - 13

To find :

The value of x

Solution :

$\sf \small \dashrightarrow4x + \frac{7}{2} = \frac{3}{2}x - 13$

Now we have to arrange on both the sides we need to take the variables on the L.H.S. and the numbers on the opposite side

$\sf \small \dashrightarrow4x - \frac{3}{2} x = - 13 - \frac{7}{2}$

Now we have to do the L.C.M. on both the sides

$\sf \small \dashrightarrow\frac{4x \times 2}{1 \times 2} - \frac{3}{2} x = \frac{ - 13 \times 2}{1 \times 2} - \frac{7}{2}$

$\sf \small \dashrightarrow \frac{8x}{2} - \frac{3x}{2} = \frac{ - 26}{2} - \frac{7}{2}$

Now as the denominators are common so we need to just simplify the numerator only

$\sf \small \dashrightarrow \frac{8x - 3x}{2} = \frac{ - 26 - 7}{2}$

$\sf \small \dashrightarrow \frac{5x}{2} = - \frac{33}{2}$

Now we need to apply cross multiplication

$\sf \small \dashrightarrow5x \times 2 = - 33 \times 2$

$\sf \small \dashrightarrow10x = - 66$

$\sf \small \dashrightarrow x = - \frac{66}{10}$

$\sf \small \dashrightarrow x = - 6.6$

So the answer is -6.6

More about cross multiplication :

• When two fractions are multiplied by each other is termed as cross-multiplication method.

• In the cross-multiplication method, the numerator of the first fraction value is multiplied by the denominator of the second fraction.

• It can be termed as a cross-multiplication method or a cross multiply.