Solve 11x − 11 = −66

The solution of 11x − 11 = −66 is x = -5.

11x - 11 = -66\ \Rightarrow\ x = -5

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

The lines y = 11x − 11 and y = -66 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.
$11x - 11 = -66$
2
Add 11 to both sides:
$11x - 11 + 11 = -66 + 11 \ \Rightarrow\ 11x = -55$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$11\cdot(-5) - 11 = -55 - 11 = -66 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 11 = -66\ \Rightarrow\ x = -5 \]
\[ 11x - 11 = -66 \]
\[ 11x - 11 + 11 = -66 + 11 \ \Rightarrow\ 11x = -55 \]
\[ \frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5 \]
\[ 11\cdot(-5) - 11 = -55 - 11 = -66 \checkmark \]

Trying values of x in 11x − 11 = −66

x	11x − 11	Equals -66?
-7	-88	no
-6	-77	no
-5	-66	yes
-4	-55	no
-3	-44	no

Questions

What is x in 11x − 11 = −66?

The solution of 11x − 11 = −66 is x = -5.

How do you solve 11x − 11 = −66?

Add 11 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) − 11 = -66, which is -66.

Solve 11x − 11 = −66

How to work it out

Trying values of x in 11x − 11 = −66

Questions

Similar equations