Solve 11x − 10 = 122

The solution of 11x − 10 = 122 is x = 12.

11x - 10 = 122\ \Rightarrow\ x = 12

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The lines y = 11x − 10 and y = 122 meet at x = 12. 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.
$11x - 10 = 122$
2
Add 10 to both sides:
$11x - 10 + 10 = 122 + 10 \ \Rightarrow\ 11x = 132$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{132}{11} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$11\cdot12 - 10 = 132 - 10 = 122 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 10 = 122\ \Rightarrow\ x = 12 \]
\[ 11x - 10 = 122 \]
\[ 11x - 10 + 10 = 122 + 10 \ \Rightarrow\ 11x = 132 \]
\[ \frac{11x}{11} = \frac{132}{11} \ \Rightarrow\ x = 12 \]
\[ 11\cdot12 - 10 = 132 - 10 = 122 \checkmark \]

Trying values of x in 11x − 10 = 122

x	11x − 10	Equals 122?
10	100	no
11	111	no
12	122	yes
13	133	no
14	144	no

Questions

What is x in 11x − 10 = 122?

The solution of 11x − 10 = 122 is x = 12.

How do you solve 11x − 10 = 122?

Add 10 to both sides to get 11x = 132, then divide both sides by 11 to get x = 12.

How do I check the answer?

Replace x by 12: 11(12) − 10 = 122, which is 122.

Solve 11x − 10 = 122

How to work it out

Trying values of x in 11x − 10 = 122

Questions

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