Solve 11x − 13 = 196

The solution of 11x − 13 = 196 is x = 19.

11x - 13 = 196\ \Rightarrow\ x = 19

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

The lines y = 11x − 13 and y = 196 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.
$11x - 13 = 196$
2
Add 13 to both sides:
$11x - 13 + 13 = 196 + 13 \ \Rightarrow\ 11x = 209$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$11\cdot19 - 13 = 209 - 13 = 196 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 13 = 196\ \Rightarrow\ x = 19 \]
\[ 11x - 13 = 196 \]
\[ 11x - 13 + 13 = 196 + 13 \ \Rightarrow\ 11x = 209 \]
\[ \frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19 \]
\[ 11\cdot19 - 13 = 209 - 13 = 196 \checkmark \]

Trying values of x in 11x − 13 = 196

x	11x − 13	Equals 196?
17	174	no
18	185	no
19	196	yes
20	207	no
21	218	no

Questions

What is x in 11x − 13 = 196?

The solution of 11x − 13 = 196 is x = 19.

How do you solve 11x − 13 = 196?

Add 13 to both sides to get 11x = 209, then divide both sides by 11 to get x = 19.

How do I check the answer?

Replace x by 19: 11(19) − 13 = 196, which is 196.

Solve 11x − 13 = 196

How to work it out

Trying values of x in 11x − 13 = 196

Questions

Similar equations