Solve 7x − 13 = 64

The solution of 7x − 13 = 64 is x = 11.

7x - 13 = 64\ \Rightarrow\ x = 11

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The lines y = 7x − 13 and y = 64 meet at x = 11. 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.
$7x - 13 = 64$
2
Add 13 to both sides:
$7x - 13 + 13 = 64 + 13 \ \Rightarrow\ 7x = 77$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$7\cdot11 - 13 = 77 - 13 = 64 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 13 = 64\ \Rightarrow\ x = 11 \]
\[ 7x - 13 = 64 \]
\[ 7x - 13 + 13 = 64 + 13 \ \Rightarrow\ 7x = 77 \]
\[ \frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11 \]
\[ 7\cdot11 - 13 = 77 - 13 = 64 \checkmark \]

Trying values of x in 7x − 13 = 64

x	7x − 13	Equals 64?
9	50	no
10	57	no
11	64	yes
12	71	no
13	78	no

Questions

What is x in 7x − 13 = 64?

The solution of 7x − 13 = 64 is x = 11.

How do you solve 7x − 13 = 64?

Add 13 to both sides to get 7x = 77, then divide both sides by 7 to get x = 11.

How do I check the answer?

Replace x by 11: 7(11) − 13 = 64, which is 64.

Solve 7x − 13 = 64

How to work it out

Trying values of x in 7x − 13 = 64

Questions

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