Solve 12x − 11 = 181

The solution of 12x − 11 = 181 is x = 16.

12x - 11 = 181\ \Rightarrow\ x = 16

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The lines y = 12x − 11 and y = 181 meet at x = 16. 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.
$12x - 11 = 181$
2
Add 11 to both sides:
$12x - 11 + 11 = 181 + 11 \ \Rightarrow\ 12x = 192$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$12\cdot16 - 11 = 192 - 11 = 181 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 11 = 181\ \Rightarrow\ x = 16 \]
\[ 12x - 11 = 181 \]
\[ 12x - 11 + 11 = 181 + 11 \ \Rightarrow\ 12x = 192 \]
\[ \frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16 \]
\[ 12\cdot16 - 11 = 192 - 11 = 181 \checkmark \]

Trying values of x in 12x − 11 = 181

x	12x − 11	Equals 181?
14	157	no
15	169	no
16	181	yes
17	193	no
18	205	no

Questions

What is x in 12x − 11 = 181?

The solution of 12x − 11 = 181 is x = 16.

How do you solve 12x − 11 = 181?

Add 11 to both sides to get 12x = 192, then divide both sides by 12 to get x = 16.

How do I check the answer?

Replace x by 16: 12(16) − 11 = 181, which is 181.

Solve 12x − 11 = 181

How to work it out

Trying values of x in 12x − 11 = 181

Questions

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