Question

On solving x/2 + 5/3 = -1/2, we get x =

Answer 1

We get: $x=-\dfrac{13}{3}$

Step-by-step explanation:

Given, $\dfrac{x}{2}+\dfrac{5}{3}=-\dfrac{1}{2}$

$\Rightarrow \dfrac{x}{2}=-\dfrac{1}{2}-\dfrac{5}{3}$

• We have transposed $\dfrac{5}{3}$ to the right hand side.

$\Rightarrow \dfrac{x}{2}=\dfrac{-3-10}{6}$

• Do LCM of 2 and 3, and then perform addition of two fractions.

$\Rightarrow \dfrac{x}{2}=-\dfrac{13}{6}$

$\Rightarrow x=-\dfrac{13}{6}\times 2$

• We have transposed 2 to the right hand side.

$\Rightarrow x=-\dfrac{13}{3}$

So, the required value of x is $(-\dfrac{13}{3})$.

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