Question

In the algebraic equation $3x+2-5x=9+\frac{x}{3}$, the value of the unknown is

• A. $3$
• B. $4$
• C. $-3$

Answer 1

The correct option is C $-3$

Given: $3x+2-5x=9+\frac{x}{3}$

Concept: For ease of solving an equation, the unknowns are brought to oneside and the constants are brought to the other side of the equation.

Place the unknowns in the Left hand side(LHS) and the constants in the Right hand side(RHS)
$3x-5x-\frac{x}{3}=9-2$
$\Rightarrow -2x-\frac{x}{3}=7\Rightarrow \frac{-7x}{3}=7$
Divide the above algebraic equation by $-7$ on both sides
$\Rightarrow \frac{-7x}{-7\times 3}=\frac{7}{-7}$
$\Rightarrow \frac{x}{3}=-1$
Multiply the above algebraic equation by 3 on both sides
$\Rightarrow 3\times \frac{x}{3}=3\times -1$
$\Rightarrow x=-3$