Solve 11x − 9 = 211

The solution of 11x − 9 = 211 is x = 20.

11x - 9 = 211\ \Rightarrow\ x = 20

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

The lines y = 11x − 9 and y = 211 meet at x = 20. 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.
$11x - 9 = 211$
2
Add 9 to both sides:
$11x - 9 + 9 = 211 + 9 \ \Rightarrow\ 11x = 220$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{220}{11} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$11\cdot20 - 9 = 220 - 9 = 211 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 9 = 211\ \Rightarrow\ x = 20 \]
\[ 11x - 9 = 211 \]
\[ 11x - 9 + 9 = 211 + 9 \ \Rightarrow\ 11x = 220 \]
\[ \frac{11x}{11} = \frac{220}{11} \ \Rightarrow\ x = 20 \]
\[ 11\cdot20 - 9 = 220 - 9 = 211 \checkmark \]

Trying values of x in 11x − 9 = 211

x	11x − 9	Equals 211?
18	189	no
19	200	no
20	211	yes
21	222	no
22	233	no

Questions

What is x in 11x − 9 = 211?

The solution of 11x − 9 = 211 is x = 20.

How do you solve 11x − 9 = 211?

Add 9 to both sides to get 11x = 220, then divide both sides by 11 to get x = 20.

How do I check the answer?

Replace x by 20: 11(20) − 9 = 211, which is 211.

Solve 11x − 9 = 211

How to work it out

Trying values of x in 11x − 9 = 211

Questions

Similar equations