Solve 9x − 11 = −56

The solution of 9x − 11 = −56 is x = -5.

9x - 11 = -56\ \Rightarrow\ x = -5

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

The lines y = 9x − 11 and y = -56 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.
$9x - 11 = -56$
2
Add 11 to both sides:
$9x - 11 + 11 = -56 + 11 \ \Rightarrow\ 9x = -45$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-45}{9} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$9\cdot(-5) - 11 = -45 - 11 = -56 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 11 = -56\ \Rightarrow\ x = -5 \]
\[ 9x - 11 = -56 \]
\[ 9x - 11 + 11 = -56 + 11 \ \Rightarrow\ 9x = -45 \]
\[ \frac{9x}{9} = \frac{-45}{9} \ \Rightarrow\ x = -5 \]
\[ 9\cdot(-5) - 11 = -45 - 11 = -56 \checkmark \]

Trying values of x in 9x − 11 = −56

x	9x − 11	Equals -56?
-7	-74	no
-6	-65	no
-5	-56	yes
-4	-47	no
-3	-38	no

Questions

What is x in 9x − 11 = −56?

The solution of 9x − 11 = −56 is x = -5.

How do you solve 9x − 11 = −56?

Add 11 to both sides to get 9x = -45, then divide both sides by 9 to get x = -5.

How do I check the answer?

Replace x by -5: 9(-5) − 11 = -56, which is -56.

Solve 9x − 11 = −56

How to work it out

Trying values of x in 9x − 11 = −56

Questions

Similar equations