Solve 11x − 9 = 46

The solution of 11x − 9 = 46 is x = 5.

11x - 9 = 46\ \Rightarrow\ x = 5

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

The lines y = 11x − 9 and y = 46 meet at x = 5. 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.
$11x - 9 = 46$
2
Add 9 to both sides:
$11x - 9 + 9 = 46 + 9 \ \Rightarrow\ 11x = 55$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$11\cdot5 - 9 = 55 - 9 = 46 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 9 = 46\ \Rightarrow\ x = 5 \]
\[ 11x - 9 = 46 \]
\[ 11x - 9 + 9 = 46 + 9 \ \Rightarrow\ 11x = 55 \]
\[ \frac{11x}{11} = \frac{55}{11} \ \Rightarrow\ x = 5 \]
\[ 11\cdot5 - 9 = 55 - 9 = 46 \checkmark \]

Trying values of x in 11x − 9 = 46

x	11x − 9	Equals 46?
3	24	no
4	35	no
5	46	yes
6	57	no
7	68	no

Questions

What is x in 11x − 9 = 46?

The solution of 11x − 9 = 46 is x = 5.

How do you solve 11x − 9 = 46?

Add 9 to both sides to get 11x = 55, then divide both sides by 11 to get x = 5.

How do I check the answer?

Replace x by 5: 11(5) − 9 = 46, which is 46.

Solve 11x − 9 = 46

How to work it out

Trying values of x in 11x − 9 = 46

Questions

Similar equations