Solve 11x − 11 = 165

The solution of 11x − 11 = 165 is x = 16.

11x - 11 = 165\ \Rightarrow\ x = 16

Explain it step by step in chat Make a short video of it

The lines y = 11x − 11 and y = 165 meet at x = 16. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$11x - 11 = 165$
2
Add 11 to both sides:
$11x - 11 + 11 = 165 + 11 \ \Rightarrow\ 11x = 176$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$11\cdot16 - 11 = 176 - 11 = 165 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 11 = 165\ \Rightarrow\ x = 16 \]
\[ 11x - 11 = 165 \]
\[ 11x - 11 + 11 = 165 + 11 \ \Rightarrow\ 11x = 176 \]
\[ \frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16 \]
\[ 11\cdot16 - 11 = 176 - 11 = 165 \checkmark \]

Trying values of x in 11x − 11 = 165

x	11x − 11	Equals 165?
14	143	no
15	154	no
16	165	yes
17	176	no
18	187	no

Questions

What is x in 11x − 11 = 165?

The solution of 11x − 11 = 165 is x = 16.

How do you solve 11x − 11 = 165?

Add 11 to both sides to get 11x = 176, then divide both sides by 11 to get x = 16.

How do I check the answer?

Replace x by 16: 11(16) − 11 = 165, which is 165.

Solve 11x − 11 = 165

How to work it out

Trying values of x in 11x − 11 = 165

Questions

Similar equations