Question

Solve the equation. Show all steps of your work and justify each step with an algebraic property of equality.

5x+1/3 (3x-6)=10

Answer 1

x=2

Explanation:

5x+1/3(3x−6)=10

Simplify both sides of the equation:

5x+1/3(3x−6)=10

5x+(1/3)(3x)+(1/3)(−6)=10 (Distribute)

5x+x+−2=10

(5x+x)+(−2)=10 (Combine Like Terms)

6x+−2=10

6x−2=10

Add 2 to both sides:

6x−2+2=10+2

6x=12

Divide both sides by 6:

6x/6=12/6

x=2