Solve 2x − 7 = 11

The solution of 2x − 7 = 11 is x = 9.

2x - 7 = 11\ \Rightarrow\ x = 9

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

The lines y = 2x − 7 and y = 11 meet at x = 9. 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.
$2x - 7 = 11$
2
Add 7 to both sides:
$2x - 7 + 7 = 11 + 7 \ \Rightarrow\ 2x = 18$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$2\cdot9 - 7 = 18 - 7 = 11 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 7 = 11\ \Rightarrow\ x = 9 \]
\[ 2x - 7 = 11 \]
\[ 2x - 7 + 7 = 11 + 7 \ \Rightarrow\ 2x = 18 \]
\[ \frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9 \]
\[ 2\cdot9 - 7 = 18 - 7 = 11 \checkmark \]

Trying values of x in 2x − 7 = 11

x	2x − 7	Equals 11?
7	7	no
8	9	no
9	11	yes
10	13	no
11	15	no

Questions

What is x in 2x − 7 = 11?

The solution of 2x − 7 = 11 is x = 9.

How do you solve 2x − 7 = 11?

Add 7 to both sides to get 2x = 18, then divide both sides by 2 to get x = 9.

How do I check the answer?

Replace x by 9: 2(9) − 7 = 11, which is 11.

Solve 2x − 7 = 11

How to work it out

Trying values of x in 2x − 7 = 11

Questions

Similar equations