Solve 11x − 5 = 171

The solution of 11x − 5 = 171 is x = 16.

11x - 5 = 171\ \Rightarrow\ x = 16

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The lines y = 11x − 5 and y = 171 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.
$11x - 5 = 171$
2
Add 5 to both sides:
$11x - 5 + 5 = 171 + 5 \ \Rightarrow\ 11x = 176$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$11\cdot16 - 5 = 176 - 5 = 171 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 5 = 171\ \Rightarrow\ x = 16 \]
\[ 11x - 5 = 171 \]
\[ 11x - 5 + 5 = 171 + 5 \ \Rightarrow\ 11x = 176 \]
\[ \frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16 \]
\[ 11\cdot16 - 5 = 176 - 5 = 171 \checkmark \]

Trying values of x in 11x − 5 = 171

x	11x − 5	Equals 171?
14	149	no
15	160	no
16	171	yes
17	182	no
18	193	no

Questions

What is x in 11x − 5 = 171?

The solution of 11x − 5 = 171 is x = 16.

How do you solve 11x − 5 = 171?

Add 5 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) − 5 = 171, which is 171.

Solve 11x − 5 = 171

How to work it out

Trying values of x in 11x − 5 = 171

Questions

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