Solve 11x − 10 = 111

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

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

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The lines y = 11x − 10 and y = 111 meet at x = 11. 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.
$11x - 10 = 111$
2
Add 10 to both sides:
$11x - 10 + 10 = 111 + 10 \ \Rightarrow\ 11x = 121$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{121}{11} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$11\cdot11 - 10 = 121 - 10 = 111 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 10 = 111\ \Rightarrow\ x = 11 \]
\[ 11x - 10 = 111 \]
\[ 11x - 10 + 10 = 111 + 10 \ \Rightarrow\ 11x = 121 \]
\[ \frac{11x}{11} = \frac{121}{11} \ \Rightarrow\ x = 11 \]
\[ 11\cdot11 - 10 = 121 - 10 = 111 \checkmark \]

Trying values of x in 11x − 10 = 111

x	11x − 10	Equals 111?
9	89	no
10	100	no
11	111	yes
12	122	no
13	133	no

Questions

What is x in 11x − 10 = 111?

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

How do you solve 11x − 10 = 111?

Add 10 to both sides to get 11x = 121, then divide both sides by 11 to get x = 11.

How do I check the answer?

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

Solve 11x − 10 = 111

How to work it out

Trying values of x in 11x − 10 = 111

Questions

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