Solve 5x − 13 = 37

The solution of 5x − 13 = 37 is x = 10.

5x - 13 = 37\ \Rightarrow\ x = 10

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The lines y = 5x − 13 and y = 37 meet at x = 10. 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.
$5x - 13 = 37$
2
Add 13 to both sides:
$5x - 13 + 13 = 37 + 13 \ \Rightarrow\ 5x = 50$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$5\cdot10 - 13 = 50 - 13 = 37 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 13 = 37\ \Rightarrow\ x = 10 \]
\[ 5x - 13 = 37 \]
\[ 5x - 13 + 13 = 37 + 13 \ \Rightarrow\ 5x = 50 \]
\[ \frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10 \]
\[ 5\cdot10 - 13 = 50 - 13 = 37 \checkmark \]

Trying values of x in 5x − 13 = 37

x	5x − 13	Equals 37?
8	27	no
9	32	no
10	37	yes
11	42	no
12	47	no

Questions

What is x in 5x − 13 = 37?

The solution of 5x − 13 = 37 is x = 10.

How do you solve 5x − 13 = 37?

Add 13 to both sides to get 5x = 50, then divide both sides by 5 to get x = 10.

How do I check the answer?

Replace x by 10: 5(10) − 13 = 37, which is 37.

Solve 5x − 13 = 37

How to work it out

Trying values of x in 5x − 13 = 37

Questions

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