Solve 11x − 9 = −64

The solution of 11x − 9 = −64 is x = -5.

11x - 9 = -64\ \Rightarrow\ x = -5

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

The lines y = 11x − 9 and y = -64 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.
$11x - 9 = -64$
2
Add 9 to both sides:
$11x - 9 + 9 = -64 + 9 \ \Rightarrow\ 11x = -55$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$11\cdot(-5) - 9 = -55 - 9 = -64 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 9 = -64\ \Rightarrow\ x = -5 \]
\[ 11x - 9 = -64 \]
\[ 11x - 9 + 9 = -64 + 9 \ \Rightarrow\ 11x = -55 \]
\[ \frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5 \]
\[ 11\cdot(-5) - 9 = -55 - 9 = -64 \checkmark \]

Trying values of x in 11x − 9 = −64

x	11x − 9	Equals -64?
-7	-86	no
-6	-75	no
-5	-64	yes
-4	-53	no
-3	-42	no

Questions

What is x in 11x − 9 = −64?

The solution of 11x − 9 = −64 is x = -5.

How do you solve 11x − 9 = −64?

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 = -64, which is -64.

Solve 11x − 9 = −64

How to work it out

Trying values of x in 11x − 9 = −64

Questions

Similar equations