Solve 5x − 11 = −56

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

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 5x − 11 = −56

x	5x − 11	Equals -56?
-11	-66	no
-10	-61	no
-9	-56	yes
-8	-51	no
-7	-46	no

Questions

What is x in 5x − 11 = −56?

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

How do you solve 5x − 11 = −56?

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

How do I check the answer?

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

Solve 5x − 11 = −56

How to work it out

Trying values of x in 5x − 11 = −56

Questions

Similar equations