Solve 11x − 12 = 197

The solution of 11x − 12 = 197 is x = 19.

11x - 12 = 197\ \Rightarrow\ x = 19

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The lines y = 11x − 12 and y = 197 meet at x = 19. 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.
$11x - 12 = 197$
2
Add 12 to both sides:
$11x - 12 + 12 = 197 + 12 \ \Rightarrow\ 11x = 209$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$11\cdot19 - 12 = 209 - 12 = 197 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 12 = 197\ \Rightarrow\ x = 19 \]
\[ 11x - 12 = 197 \]
\[ 11x - 12 + 12 = 197 + 12 \ \Rightarrow\ 11x = 209 \]
\[ \frac{11x}{11} = \frac{209}{11} \ \Rightarrow\ x = 19 \]
\[ 11\cdot19 - 12 = 209 - 12 = 197 \checkmark \]

Trying values of x in 11x − 12 = 197

x	11x − 12	Equals 197?
17	175	no
18	186	no
19	197	yes
20	208	no
21	219	no

Questions

What is x in 11x − 12 = 197?

The solution of 11x − 12 = 197 is x = 19.

How do you solve 11x − 12 = 197?

Add 12 to both sides to get 11x = 209, then divide both sides by 11 to get x = 19.

How do I check the answer?

Replace x by 19: 11(19) − 12 = 197, which is 197.

Solve 11x − 12 = 197

How to work it out

Trying values of x in 11x − 12 = 197

Questions

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