Solve 2x − 11 = 1

The solution of 2x − 11 = 1 is x = 6.

2x - 11 = 1\ \Rightarrow\ x = 6

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

The lines y = 2x − 11 and y = 1 meet at x = 6. 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.
$2x - 11 = 1$
2
Add 11 to both sides:
$2x - 11 + 11 = 1 + 11 \ \Rightarrow\ 2x = 12$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{12}{2} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$2\cdot6 - 11 = 12 - 11 = 1 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 11 = 1\ \Rightarrow\ x = 6 \]
\[ 2x - 11 = 1 \]
\[ 2x - 11 + 11 = 1 + 11 \ \Rightarrow\ 2x = 12 \]
\[ \frac{2x}{2} = \frac{12}{2} \ \Rightarrow\ x = 6 \]
\[ 2\cdot6 - 11 = 12 - 11 = 1 \checkmark \]

Trying values of x in 2x − 11 = 1

x	2x − 11	Equals 1?
4	-3	no
5	-1	no
6	1	yes
7	3	no
8	5	no

Questions

What is x in 2x − 11 = 1?

The solution of 2x − 11 = 1 is x = 6.

How do you solve 2x − 11 = 1?

Add 11 to both sides to get 2x = 12, then divide both sides by 2 to get x = 6.

How do I check the answer?

Replace x by 6: 2(6) − 11 = 1, which is 1.

Solve 2x − 11 = 1

How to work it out

Trying values of x in 2x − 11 = 1

Questions

Similar equations