Question

Solve x/3 + 5/2 = -3/2​

Answer 1

x/3 + 5/2 = -3/2

By transposition method,

x/3 = -3/2 - 5/2

x/3 = -8/2

Again by transposition method,

x = -8/2×3

x = -24/2

Here's your final answer,

x = -12

Answer 2

Given that:- $\frac{x}{3} +\frac{5}{2} =-\frac{3}{2}$

As we have to simplify the above expression,

For that, we need to use the BODMAS rule

Subtract $\frac{5}{2}$ from both sides,

$=>\frac{x}{3} +\frac{5}{2} -\frac{5}{2} =-\frac{3}{2} -\frac{5}{2}$

Combine the fractions,

$=>\frac{x}{3}+\frac{5-5}{2}=-\frac{3}{2} -\frac{5}{2}$

$=>\frac{x}{3}+\frac{0}{2} =-\frac{3}{2} -\frac{5}{2}$

$=>\frac{x}{3}+0=-\frac{3}{2}-\frac{5}{2}$

$=>\frac{x}{3}=-\frac{3}{2}-\frac{5}{2}$

$=>\frac{x}{3} =\frac{-3-5}{2} \\=>\frac{x}{3} =\frac{-8}{2}$

Now, find the GCF (greatest common factor) of numerator and denominator,

$=>\frac{x}{3}=\frac{-4\times 2}{1 \times 2}$

Factor out and cancel the greatest common factor:

$=>\frac{x}{3} =-4$

Multiply both sides by 3:

$=>\frac{x}{3}\times 3=-4\times 3$

Group like terms:

$=>\frac{1}{3} \times 3x=-4\times 3\\=>x=-4\times 3\\=>x=-12$

Hence, the required answer is -12.