Solve 2x − 13 = 1

The solution of 2x − 13 = 1 is x = 7.

2x - 13 = 1\ \Rightarrow\ x = 7

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

The lines y = 2x − 13 and y = 1 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.
$2x - 13 = 1$
2
Add 13 to both sides:
$2x - 13 + 13 = 1 + 13 \ \Rightarrow\ 2x = 14$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{14}{2} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$2\cdot7 - 13 = 14 - 13 = 1 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 13 = 1\ \Rightarrow\ x = 7 \]
\[ 2x - 13 = 1 \]
\[ 2x - 13 + 13 = 1 + 13 \ \Rightarrow\ 2x = 14 \]
\[ \frac{2x}{2} = \frac{14}{2} \ \Rightarrow\ x = 7 \]
\[ 2\cdot7 - 13 = 14 - 13 = 1 \checkmark \]

Trying values of x in 2x − 13 = 1

x	2x − 13	Equals 1?
5	-3	no
6	-1	no
7	1	yes
8	3	no
9	5	no

Questions

What is x in 2x − 13 = 1?

The solution of 2x − 13 = 1 is x = 7.

How do you solve 2x − 13 = 1?

Add 13 to both sides to get 2x = 14, then divide both sides by 2 to get x = 7.

How do I check the answer?

Replace x by 7: 2(7) − 13 = 1, which is 1.

Solve 2x − 13 = 1

How to work it out

Trying values of x in 2x − 13 = 1

Questions

Similar equations