Solve 2x − 5 = 13

The solution of 2x − 5 = 13 is x = 9.

2x - 5 = 13\ \Rightarrow\ x = 9

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

The lines y = 2x − 5 and y = 13 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.
$2x - 5 = 13$
2
Add 5 to both sides:
$2x - 5 + 5 = 13 + 5 \ \Rightarrow\ 2x = 18$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$2\cdot9 - 5 = 18 - 5 = 13 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 5 = 13\ \Rightarrow\ x = 9 \]
\[ 2x - 5 = 13 \]
\[ 2x - 5 + 5 = 13 + 5 \ \Rightarrow\ 2x = 18 \]
\[ \frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9 \]
\[ 2\cdot9 - 5 = 18 - 5 = 13 \checkmark \]

Trying values of x in 2x − 5 = 13

x	2x − 5	Equals 13?
7	9	no
8	11	no
9	13	yes
10	15	no
11	17	no

Questions

What is x in 2x − 5 = 13?

The solution of 2x − 5 = 13 is x = 9.

How do you solve 2x − 5 = 13?

Add 5 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) − 5 = 13, which is 13.

Solve 2x − 5 = 13

How to work it out

Trying values of x in 2x − 5 = 13

Questions

Similar equations