Solve 12x − 11 = 217

The solution of 12x − 11 = 217 is x = 19.

12x - 11 = 217\ \Rightarrow\ x = 19

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

The lines y = 12x − 11 and y = 217 meet at x = 19. 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.
$12x - 11 = 217$
2
Add 11 to both sides:
$12x - 11 + 11 = 217 + 11 \ \Rightarrow\ 12x = 228$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$12\cdot19 - 11 = 228 - 11 = 217 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 11 = 217\ \Rightarrow\ x = 19 \]
\[ 12x - 11 = 217 \]
\[ 12x - 11 + 11 = 217 + 11 \ \Rightarrow\ 12x = 228 \]
\[ \frac{12x}{12} = \frac{228}{12} \ \Rightarrow\ x = 19 \]
\[ 12\cdot19 - 11 = 228 - 11 = 217 \checkmark \]

Trying values of x in 12x − 11 = 217

x	12x − 11	Equals 217?
17	193	no
18	205	no
19	217	yes
20	229	no
21	241	no

Questions

What is x in 12x − 11 = 217?

The solution of 12x − 11 = 217 is x = 19.

How do you solve 12x − 11 = 217?

Add 11 to both sides to get 12x = 228, then divide both sides by 12 to get x = 19.

How do I check the answer?

Replace x by 19: 12(19) − 11 = 217, which is 217.

Solve 12x − 11 = 217

How to work it out

Trying values of x in 12x − 11 = 217

Questions

Similar equations