Solve 5x − 13 = 52

The solution of 5x − 13 = 52 is x = 13.

5x - 13 = 52\ \Rightarrow\ x = 13

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The lines y = 5x − 13 and y = 52 meet at x = 13. 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.
$5x - 13 = 52$
2
Add 13 to both sides:
$5x - 13 + 13 = 52 + 13 \ \Rightarrow\ 5x = 65$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{65}{5} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$5\cdot13 - 13 = 65 - 13 = 52 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 13 = 52\ \Rightarrow\ x = 13 \]
\[ 5x - 13 = 52 \]
\[ 5x - 13 + 13 = 52 + 13 \ \Rightarrow\ 5x = 65 \]
\[ \frac{5x}{5} = \frac{65}{5} \ \Rightarrow\ x = 13 \]
\[ 5\cdot13 - 13 = 65 - 13 = 52 \checkmark \]

Trying values of x in 5x − 13 = 52

x	5x − 13	Equals 52?
11	42	no
12	47	no
13	52	yes
14	57	no
15	62	no

Questions

What is x in 5x − 13 = 52?

The solution of 5x − 13 = 52 is x = 13.

How do you solve 5x − 13 = 52?

Add 13 to both sides to get 5x = 65, then divide both sides by 5 to get x = 13.

How do I check the answer?

Replace x by 13: 5(13) − 13 = 52, which is 52.

Solve 5x − 13 = 52

How to work it out

Trying values of x in 5x − 13 = 52

Questions

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