Solve 11x − 15 = 161

The solution of 11x − 15 = 161 is x = 16.

11x - 15 = 161\ \Rightarrow\ x = 16

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The lines y = 11x − 15 and y = 161 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.
$11x - 15 = 161$
2
Add 15 to both sides:
$11x - 15 + 15 = 161 + 15 \ \Rightarrow\ 11x = 176$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$11\cdot16 - 15 = 176 - 15 = 161 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 15 = 161\ \Rightarrow\ x = 16 \]
\[ 11x - 15 = 161 \]
\[ 11x - 15 + 15 = 161 + 15 \ \Rightarrow\ 11x = 176 \]
\[ \frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16 \]
\[ 11\cdot16 - 15 = 176 - 15 = 161 \checkmark \]

Trying values of x in 11x − 15 = 161

x	11x − 15	Equals 161?
14	139	no
15	150	no
16	161	yes
17	172	no
18	183	no

Questions

What is x in 11x − 15 = 161?

The solution of 11x − 15 = 161 is x = 16.

How do you solve 11x − 15 = 161?

Add 15 to both sides to get 11x = 176, then divide both sides by 11 to get x = 16.

How do I check the answer?

Replace x by 16: 11(16) − 15 = 161, which is 161.

Solve 11x − 15 = 161

How to work it out

Trying values of x in 11x − 15 = 161

Questions

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