Solve 11x − 1 = 65

The solution of 11x − 1 = 65 is x = 6.

11x - 1 = 65\ \Rightarrow\ x = 6

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The lines y = 11x − 1 and y = 65 meet at x = 6. 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.
$11x - 1 = 65$
2
Add 1 to both sides:
$11x - 1 + 1 = 65 + 1 \ \Rightarrow\ 11x = 66$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$11\cdot6 - 1 = 66 - 1 = 65 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 1 = 65\ \Rightarrow\ x = 6 \]
\[ 11x - 1 = 65 \]
\[ 11x - 1 + 1 = 65 + 1 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 - 1 = 66 - 1 = 65 \checkmark \]

Trying values of x in 11x − 1 = 65

x	11x − 1	Equals 65?
4	43	no
5	54	no
6	65	yes
7	76	no
8	87	no

Questions

What is x in 11x − 1 = 65?

The solution of 11x − 1 = 65 is x = 6.

How do you solve 11x − 1 = 65?

Add 1 to both sides to get 11x = 66, then divide both sides by 11 to get x = 6.

How do I check the answer?

Replace x by 6: 11(6) − 1 = 65, which is 65.

Solve 11x − 1 = 65

How to work it out

Trying values of x in 11x − 1 = 65

Questions

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