Solve 9x − 11 = 133

The solution of 9x − 11 = 133 is x = 16.

9x - 11 = 133\ \Rightarrow\ x = 16

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

The lines y = 9x − 11 and y = 133 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.
$9x - 11 = 133$
2
Add 11 to both sides:
$9x - 11 + 11 = 133 + 11 \ \Rightarrow\ 9x = 144$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{144}{9} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$9\cdot16 - 11 = 144 - 11 = 133 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 11 = 133\ \Rightarrow\ x = 16 \]
\[ 9x - 11 = 133 \]
\[ 9x - 11 + 11 = 133 + 11 \ \Rightarrow\ 9x = 144 \]
\[ \frac{9x}{9} = \frac{144}{9} \ \Rightarrow\ x = 16 \]
\[ 9\cdot16 - 11 = 144 - 11 = 133 \checkmark \]

Trying values of x in 9x − 11 = 133

x	9x − 11	Equals 133?
14	115	no
15	124	no
16	133	yes
17	142	no
18	151	no

Questions

What is x in 9x − 11 = 133?

The solution of 9x − 11 = 133 is x = 16.

How do you solve 9x − 11 = 133?

Add 11 to both sides to get 9x = 144, then divide both sides by 9 to get x = 16.

How do I check the answer?

Replace x by 16: 9(16) − 11 = 133, which is 133.

Solve 9x − 11 = 133

How to work it out

Trying values of x in 9x − 11 = 133

Questions

Similar equations