Solve 5x − 11 = 64

The solution of 5x − 11 = 64 is x = 15.

5x - 11 = 64\ \Rightarrow\ x = 15

Explain it step by step in chat Make a short video of it

The lines y = 5x − 11 and y = 64 meet at x = 15. 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.
$5x - 11 = 64$
2
Add 11 to both sides:
$5x - 11 + 11 = 64 + 11 \ \Rightarrow\ 5x = 75$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{75}{5} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$5\cdot15 - 11 = 75 - 11 = 64 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 11 = 64\ \Rightarrow\ x = 15 \]
\[ 5x - 11 = 64 \]
\[ 5x - 11 + 11 = 64 + 11 \ \Rightarrow\ 5x = 75 \]
\[ \frac{5x}{5} = \frac{75}{5} \ \Rightarrow\ x = 15 \]
\[ 5\cdot15 - 11 = 75 - 11 = 64 \checkmark \]

Trying values of x in 5x − 11 = 64

x	5x − 11	Equals 64?
13	54	no
14	59	no
15	64	yes
16	69	no
17	74	no

Questions

What is x in 5x − 11 = 64?

The solution of 5x − 11 = 64 is x = 15.

How do you solve 5x − 11 = 64?

Add 11 to both sides to get 5x = 75, then divide both sides by 5 to get x = 15.

How do I check the answer?

Replace x by 15: 5(15) − 11 = 64, which is 64.

Solve 5x − 11 = 64

How to work it out

Trying values of x in 5x − 11 = 64

Questions

Similar equations