Solve 11x − 1 = 197

The solution of 11x − 1 = 197 is x = 18.

11x - 1 = 197\ \Rightarrow\ x = 18

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The lines y = 11x − 1 and y = 197 meet at x = 18. 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.
$11x - 1 = 197$
2
Add 1 to both sides:
$11x - 1 + 1 = 197 + 1 \ \Rightarrow\ 11x = 198$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$11\cdot18 - 1 = 198 - 1 = 197 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 1 = 197\ \Rightarrow\ x = 18 \]
\[ 11x - 1 = 197 \]
\[ 11x - 1 + 1 = 197 + 1 \ \Rightarrow\ 11x = 198 \]
\[ \frac{11x}{11} = \frac{198}{11} \ \Rightarrow\ x = 18 \]
\[ 11\cdot18 - 1 = 198 - 1 = 197 \checkmark \]

Trying values of x in 11x − 1 = 197

x	11x − 1	Equals 197?
16	175	no
17	186	no
18	197	yes
19	208	no
20	219	no

Questions

What is x in 11x − 1 = 197?

The solution of 11x − 1 = 197 is x = 18.

How do you solve 11x − 1 = 197?

Add 1 to both sides to get 11x = 198, then divide both sides by 11 to get x = 18.

How do I check the answer?

Replace x by 18: 11(18) − 1 = 197, which is 197.

Solve 11x − 1 = 197

How to work it out

Trying values of x in 11x − 1 = 197

Questions

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