Solve 3x − 11 = 10

The solution of 3x − 11 = 10 is x = 7.

3x - 11 = 10\ \Rightarrow\ x = 7

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

The lines y = 3x − 11 and y = 10 meet at x = 7. 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.
$3x - 11 = 10$
2
Add 11 to both sides:
$3x - 11 + 11 = 10 + 11 \ \Rightarrow\ 3x = 21$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$3\cdot7 - 11 = 21 - 11 = 10 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 11 = 10\ \Rightarrow\ x = 7 \]
\[ 3x - 11 = 10 \]
\[ 3x - 11 + 11 = 10 + 11 \ \Rightarrow\ 3x = 21 \]
\[ \frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7 \]
\[ 3\cdot7 - 11 = 21 - 11 = 10 \checkmark \]

Trying values of x in 3x − 11 = 10

x	3x − 11	Equals 10?
5	4	no
6	7	no
7	10	yes
8	13	no
9	16	no

Questions

What is x in 3x − 11 = 10?

The solution of 3x − 11 = 10 is x = 7.

How do you solve 3x − 11 = 10?

Add 11 to both sides to get 3x = 21, then divide both sides by 3 to get x = 7.

How do I check the answer?

Replace x by 7: 3(7) − 11 = 10, which is 10.

Solve 3x − 11 = 10

How to work it out

Trying values of x in 3x − 11 = 10

Questions

Similar equations