Solve 2x − 13 = 5

The solution of 2x − 13 = 5 is x = 9.

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 2x − 13 = 5

x	2x − 13	Equals 5?
7	1	no
8	3	no
9	5	yes
10	7	no
11	9	no

Questions

What is x in 2x − 13 = 5?

The solution of 2x − 13 = 5 is x = 9.

How do you solve 2x − 13 = 5?

Add 13 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) − 13 = 5, which is 5.

Solve 2x − 13 = 5

How to work it out

Trying values of x in 2x − 13 = 5

Questions

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