Solve 11x − 13 = 20

The solution of 11x − 13 = 20 is x = 3.

11x - 13 = 20\ \Rightarrow\ x = 3

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

The lines y = 11x − 13 and y = 20 meet at x = 3. 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.
$11x - 13 = 20$
2
Add 13 to both sides:
$11x - 13 + 13 = 20 + 13 \ \Rightarrow\ 11x = 33$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{33}{11} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$11\cdot3 - 13 = 33 - 13 = 20 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 13 = 20\ \Rightarrow\ x = 3 \]
\[ 11x - 13 = 20 \]
\[ 11x - 13 + 13 = 20 + 13 \ \Rightarrow\ 11x = 33 \]
\[ \frac{11x}{11} = \frac{33}{11} \ \Rightarrow\ x = 3 \]
\[ 11\cdot3 - 13 = 33 - 13 = 20 \checkmark \]

Trying values of x in 11x − 13 = 20

x	11x − 13	Equals 20?
1	-2	no
2	9	no
3	20	yes
4	31	no
5	42	no

Questions

What is x in 11x − 13 = 20?

The solution of 11x − 13 = 20 is x = 3.

How do you solve 11x − 13 = 20?

Add 13 to both sides to get 11x = 33, then divide both sides by 11 to get x = 3.

How do I check the answer?

Replace x by 3: 11(3) − 13 = 20, which is 20.

Solve 11x − 13 = 20

How to work it out

Trying values of x in 11x − 13 = 20

Questions

Similar equations