Question

What is the solution set of the equation 8x+2=x+4x−6 ?

Answer 1

$8x+2=x+4x-6\\\\8x+2=(x+4x)-6\\\\8x+2=5x-6\qquad\text{subtract 2 from both sides}\\\\8x=5x-8\qquad\text{subtract 5x from both sides}\\\\3x=-8\qquad\text{divide both sides by 3}\\\\\boxed{x=-\dfrac{8}{3}}$

Answer 2

• 8x+2=x+4x-6
• get the x's to one side
• 3x=-8
• divide by 3 to get x by itself
• x=$\frac{-8}{3}$