Solve 3x − 11 = 19

The solution of 3x − 11 = 19 is x = 10.

3x - 11 = 19\ \Rightarrow\ x = 10

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

The lines y = 3x − 11 and y = 19 meet at x = 10. 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.
$3x - 11 = 19$
2
Add 11 to both sides:
$3x - 11 + 11 = 19 + 11 \ \Rightarrow\ 3x = 30$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$3\cdot10 - 11 = 30 - 11 = 19 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 11 = 19\ \Rightarrow\ x = 10 \]
\[ 3x - 11 = 19 \]
\[ 3x - 11 + 11 = 19 + 11 \ \Rightarrow\ 3x = 30 \]
\[ \frac{3x}{3} = \frac{30}{3} \ \Rightarrow\ x = 10 \]
\[ 3\cdot10 - 11 = 30 - 11 = 19 \checkmark \]

Trying values of x in 3x − 11 = 19

x	3x − 11	Equals 19?
8	13	no
9	16	no
10	19	yes
11	22	no
12	25	no

Questions

What is x in 3x − 11 = 19?

The solution of 3x − 11 = 19 is x = 10.

How do you solve 3x − 11 = 19?

Add 11 to both sides to get 3x = 30, then divide both sides by 3 to get x = 10.

How do I check the answer?

Replace x by 10: 3(10) − 11 = 19, which is 19.

Solve 3x − 11 = 19

How to work it out

Trying values of x in 3x − 11 = 19

Questions

Similar equations