Solve 9x − 11 = 160

The solution of 9x − 11 = 160 is x = 19.

9x - 11 = 160\ \Rightarrow\ x = 19

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The lines y = 9x − 11 and y = 160 meet at x = 19. 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.
$9x - 11 = 160$
2
Add 11 to both sides:
$9x - 11 + 11 = 160 + 11 \ \Rightarrow\ 9x = 171$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{171}{9} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$9\cdot19 - 11 = 171 - 11 = 160 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 11 = 160\ \Rightarrow\ x = 19 \]
\[ 9x - 11 = 160 \]
\[ 9x - 11 + 11 = 160 + 11 \ \Rightarrow\ 9x = 171 \]
\[ \frac{9x}{9} = \frac{171}{9} \ \Rightarrow\ x = 19 \]
\[ 9\cdot19 - 11 = 171 - 11 = 160 \checkmark \]

Trying values of x in 9x − 11 = 160

x	9x − 11	Equals 160?
17	142	no
18	151	no
19	160	yes
20	169	no
21	178	no

Questions

What is x in 9x − 11 = 160?

The solution of 9x − 11 = 160 is x = 19.

How do you solve 9x − 11 = 160?

Add 11 to both sides to get 9x = 171, then divide both sides by 9 to get x = 19.

How do I check the answer?

Replace x by 19: 9(19) − 11 = 160, which is 160.

Solve 9x − 11 = 160

How to work it out

Trying values of x in 9x − 11 = 160

Questions

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