Question

What is the solution to the following equation?
3(x-4)-5= x-3

Answer 1

x = 7

Explanation:

`3(x-4)-5=x-3\qquad\text{use the distributive property}\\3x-12-5=x-3\\3x-17=x-3\qquad\text{add 17 to both sides}\\3x-17+17=x-3+17\\3x=x+14\qquad\text{subtract}\ x\ \text{from both sides}\\3x-x=x-x+14\\2x=14\qquad\text{divide both sides by 2}\\(2x)/(2)=(14)/(2)\\\\x=7`