Question

$\text{Which of the following equations has a}\text{solution of x = 3 ?}$

• A. $8x-10=2x-16$
• B. $7x=28$
• C. $2x-3=3x-6$
• D. $5x=15$

Answer 1

Answer: (C), (D)

The correct options are
C $2x-3=3x-6$
D $5x=15$

$\left(i\right)\text{Given:}8x-10=2x-16\text{Bring the terms with variables to the}\text{left and the constants to the right}\text{by interchanging the sign.}\text{Then we get,}8x-2x=-16+10\Rightarrow 6x=-6\text{By dividing 6 on both the sides,}\text{we get,}\frac{6x}{6}=\frac{-6}{6}\Rightarrow x=-1.$

$\left(ii\right)\text{Given:}7x=28\text{By dividing 7 on both the sides,}\text{we get,}\frac{7x}{7}=\frac{28}{7}\Rightarrow x=4$

$\left(iii\right)\text{Given:}2x-3=3x-6\text{Bring the terms with variables to the}\text{left and the constants to the right}\text{by interchanging the sign.}\text{Then we get,}2x-3x=-6+3\Rightarrow -x=-3\Rightarrow x=3$

$\left(iv\right)\text{Given:}5x=15\text{By dividing 5 on both the sides,}\text{we get,}\Rightarrow \frac{5x}{5}=\frac{15}{5}\Rightarrow x=3$