Question

Solve. 3/2x – 4 = 16

Answer 1

$\dfrac{3}{2x}-4=16\ \ \ |add\ 4\ to\ both\ sides\\\\\dfrac{3}{2x}=20\\\\\dfrac{3}{2x}=\dfrac{20}{1}\ \ \ |cross\ multiply\\\\20\cdot2x=3\cdot1\\\\40x=3\ \ \ |divide\ both\ sides\ by\ 40\\\\\boxed{x=\frac{3}{40}}$

Answer 2

Answer:  The required solution of the given equation is $x=\dfrac{40}{3}.$

Step-by-step explanation:  We are given to solve the following equation :

$\dfrac{3}{2}x-4=16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To solve the given equation, we must find the value of the unknown variable x.

The solution of equation (i) is as follows :

$\dfrac{3}{2}x-4=16\\\\\\\Rightarrow \dfrac{3}{2}x=16+4\\\\\\\Rightarrow \dfrac{3}{2}x=20\\\\\Rightarrow 3x=40\\\\\Rightarrow x=\dfrac{40}{3}.$

Thus, the required solution of the given equation is $x=\dfrac{40}{3}.$