9x-11= x+5

### 1 Answer | Add Yours

Solve 9x-11=x+5 :

The goal is to write a set of equivalent equations ( each has the same solution set) ending with the simplest form of x= the solution(s).

Equivalent equations can be formed if we use the properties of equality including the addition, subtraction, multiplication, and division properties.

9x-11=x+5 Subtract x from both sides (Subtraction prop of =)

8x-11=0+5 0+5=5 (additive identity property)

8x-11=5 Add 11 to both sides (Addition prop of =)

8x+0=16 8x+0=8x (Additive identity property)

8x=16 Divide both sides by 8 (Division prop of =)

1x=2 1x=x (Multiplicative identity property)

x=2

--------------------------------------------------------------------

The solution to 9x-11=x+5 is x=2

-------------------------------------------------------------------

Check by substituting the x-value into the original equation to make sure it makes a true statement:

9(2)-11=18-11=7=2+5 so the solution is indeed 2.

**Sources:**

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes