Solve 11x − 11 = −22

The solution of 11x − 11 = −22 is x = -1.

11x - 11 = -22\ \Rightarrow\ x = -1

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

The lines y = 11x − 11 and y = -22 meet at x = -1. 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.
$11x - 11 = -22$
2
Add 11 to both sides:
$11x - 11 + 11 = -22 + 11 \ \Rightarrow\ 11x = -11$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$11\cdot(-1) - 11 = -11 - 11 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 11 = -22\ \Rightarrow\ x = -1 \]
\[ 11x - 11 = -22 \]
\[ 11x - 11 + 11 = -22 + 11 \ \Rightarrow\ 11x = -11 \]
\[ \frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1 \]
\[ 11\cdot(-1) - 11 = -11 - 11 = -22 \checkmark \]

Trying values of x in 11x − 11 = −22

x	11x − 11	Equals -22?
-3	-44	no
-2	-33	no
-1	-22	yes
0	-11	no
1	0	no

Questions

What is x in 11x − 11 = −22?

The solution of 11x − 11 = −22 is x = -1.

How do you solve 11x − 11 = −22?

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

How do I check the answer?

Replace x by -1: 11(-1) − 11 = -22, which is -22.

Solve 11x − 11 = −22

How to work it out

Trying values of x in 11x − 11 = −22

Questions

Similar equations