Question

What is the solution to the equation below?

x/4=x+1/3

A) x=-4
B) x=-1
C) 1/7
D) 4/7

Answer 1

Answer:

$\large\boxed{A)\ x=-4}$

Step-by-step explanation:

$\dfrac{x}{4}=\dfrac{x+1}{3}\qquad\text{cross multiply}\\\\3x=4(x+1)\qquad\text{use the distributive property}\\\\3x=4x+4\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\-x=4\qquad\text{change the signs}\\\\x=-4$