Solve 11x − 1 = −111

The solution of 11x − 1 = −111 is x = -10.

11x - 1 = -111\ \Rightarrow\ x = -10

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The lines y = 11x − 1 and y = -111 meet at x = -10. 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.
$11x - 1 = -111$
2
Add 1 to both sides:
$11x - 1 + 1 = -111 + 1 \ \Rightarrow\ 11x = -110$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$11\cdot(-10) - 1 = -110 - 1 = -111 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 1 = -111\ \Rightarrow\ x = -10 \]
\[ 11x - 1 = -111 \]
\[ 11x - 1 + 1 = -111 + 1 \ \Rightarrow\ 11x = -110 \]
\[ \frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10 \]
\[ 11\cdot(-10) - 1 = -110 - 1 = -111 \checkmark \]

Trying values of x in 11x − 1 = −111

x	11x − 1	Equals -111?
-12	-133	no
-11	-122	no
-10	-111	yes
-9	-100	no
-8	-89	no

Questions

What is x in 11x − 1 = −111?

The solution of 11x − 1 = −111 is x = -10.

How do you solve 11x − 1 = −111?

Add 1 to both sides to get 11x = -110, then divide both sides by 11 to get x = -10.

How do I check the answer?

Replace x by -10: 11(-10) − 1 = -111, which is -111.

Solve 11x − 1 = −111

How to work it out

Trying values of x in 11x − 1 = −111

Questions

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