Solve 6x − 13 = 65

The solution of 6x − 13 = 65 is x = 13.

6x - 13 = 65\ \Rightarrow\ x = 13

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The lines y = 6x − 13 and y = 65 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.
$6x - 13 = 65$
2
Add 13 to both sides:
$6x - 13 + 13 = 65 + 13 \ \Rightarrow\ 6x = 78$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{78}{6} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$6\cdot13 - 13 = 78 - 13 = 65 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 13 = 65\ \Rightarrow\ x = 13 \]
\[ 6x - 13 = 65 \]
\[ 6x - 13 + 13 = 65 + 13 \ \Rightarrow\ 6x = 78 \]
\[ \frac{6x}{6} = \frac{78}{6} \ \Rightarrow\ x = 13 \]
\[ 6\cdot13 - 13 = 78 - 13 = 65 \checkmark \]

Trying values of x in 6x − 13 = 65

x	6x − 13	Equals 65?
11	53	no
12	59	no
13	65	yes
14	71	no
15	77	no

Questions

What is x in 6x − 13 = 65?

The solution of 6x − 13 = 65 is x = 13.

How do you solve 6x − 13 = 65?

Add 13 to both sides to get 6x = 78, then divide both sides by 6 to get x = 13.

How do I check the answer?

Replace x by 13: 6(13) − 13 = 65, which is 65.

Solve 6x − 13 = 65

How to work it out

Trying values of x in 6x − 13 = 65

Questions

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