Solve 3x − 11 = 49

The solution of 3x − 11 = 49 is x = 20.

3x - 11 = 49\ \Rightarrow\ x = 20

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

The lines y = 3x − 11 and y = 49 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.
$3x - 11 = 49$
2
Add 11 to both sides:
$3x - 11 + 11 = 49 + 11 \ \Rightarrow\ 3x = 60$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$3\cdot20 - 11 = 60 - 11 = 49 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 11 = 49\ \Rightarrow\ x = 20 \]
\[ 3x - 11 = 49 \]
\[ 3x - 11 + 11 = 49 + 11 \ \Rightarrow\ 3x = 60 \]
\[ \frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20 \]
\[ 3\cdot20 - 11 = 60 - 11 = 49 \checkmark \]

Trying values of x in 3x − 11 = 49

x	3x − 11	Equals 49?
18	43	no
19	46	no
20	49	yes
21	52	no
22	55	no

Questions

What is x in 3x − 11 = 49?

The solution of 3x − 11 = 49 is x = 20.

How do you solve 3x − 11 = 49?

Add 11 to both sides to get 3x = 60, then divide both sides by 3 to get x = 20.

How do I check the answer?

Replace x by 20: 3(20) − 11 = 49, which is 49.

Solve 3x − 11 = 49

How to work it out

Trying values of x in 3x − 11 = 49

Questions

Similar equations