Solve 11x − 5 = 182

The solution of 11x − 5 = 182 is x = 17.

11x - 5 = 182\ \Rightarrow\ x = 17

Explain it step by step in chat Make a short video of it

The lines y = 11x − 5 and y = 182 meet at x = 17. 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.
$11x - 5 = 182$
2
Add 5 to both sides:
$11x - 5 + 5 = 182 + 5 \ \Rightarrow\ 11x = 187$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$11\cdot17 - 5 = 187 - 5 = 182 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 5 = 182\ \Rightarrow\ x = 17 \]
\[ 11x - 5 = 182 \]
\[ 11x - 5 + 5 = 182 + 5 \ \Rightarrow\ 11x = 187 \]
\[ \frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17 \]
\[ 11\cdot17 - 5 = 187 - 5 = 182 \checkmark \]

Trying values of x in 11x − 5 = 182

x	11x − 5	Equals 182?
15	160	no
16	171	no
17	182	yes
18	193	no
19	204	no

Questions

What is x in 11x − 5 = 182?

The solution of 11x − 5 = 182 is x = 17.

How do you solve 11x − 5 = 182?

Add 5 to both sides to get 11x = 187, then divide both sides by 11 to get x = 17.

How do I check the answer?

Replace x by 17: 11(17) − 5 = 182, which is 182.

Solve 11x − 5 = 182

How to work it out

Trying values of x in 11x − 5 = 182

Questions

Similar equations