Solve 11x − 13 = 163

The solution of 11x − 13 = 163 is x = 16.

11x - 13 = 163\ \Rightarrow\ x = 16

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The lines y = 11x − 13 and y = 163 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.
$11x - 13 = 163$
2
Add 13 to both sides:
$11x - 13 + 13 = 163 + 13 \ \Rightarrow\ 11x = 176$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$11\cdot16 - 13 = 176 - 13 = 163 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 13 = 163\ \Rightarrow\ x = 16 \]
\[ 11x - 13 = 163 \]
\[ 11x - 13 + 13 = 163 + 13 \ \Rightarrow\ 11x = 176 \]
\[ \frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16 \]
\[ 11\cdot16 - 13 = 176 - 13 = 163 \checkmark \]

Trying values of x in 11x − 13 = 163

x	11x − 13	Equals 163?
14	141	no
15	152	no
16	163	yes
17	174	no
18	185	no

Questions

What is x in 11x − 13 = 163?

The solution of 11x − 13 = 163 is x = 16.

How do you solve 11x − 13 = 163?

Add 13 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) − 13 = 163, which is 163.

Solve 11x − 13 = 163

How to work it out

Trying values of x in 11x − 13 = 163

Questions

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