Solve 9x − 7 = 173

The solution of 9x − 7 = 173 is x = 20.

9x - 7 = 173\ \Rightarrow\ x = 20

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The lines y = 9x − 7 and y = 173 meet at x = 20. 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.
$9x - 7 = 173$
2
Add 7 to both sides:
$9x - 7 + 7 = 173 + 7 \ \Rightarrow\ 9x = 180$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{180}{9} \ \Rightarrow\ x = 20$
4
Check: put x = 20 back into the equation.
$9\cdot20 - 7 = 180 - 7 = 173 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 7 = 173\ \Rightarrow\ x = 20 \]
\[ 9x - 7 = 173 \]
\[ 9x - 7 + 7 = 173 + 7 \ \Rightarrow\ 9x = 180 \]
\[ \frac{9x}{9} = \frac{180}{9} \ \Rightarrow\ x = 20 \]
\[ 9\cdot20 - 7 = 180 - 7 = 173 \checkmark \]

Trying values of x in 9x − 7 = 173

x	9x − 7	Equals 173?
18	155	no
19	164	no
20	173	yes
21	182	no
22	191	no

Questions

What is x in 9x − 7 = 173?

The solution of 9x − 7 = 173 is x = 20.

How do you solve 9x − 7 = 173?

Add 7 to both sides to get 9x = 180, then divide both sides by 9 to get x = 20.

How do I check the answer?

Replace x by 20: 9(20) − 7 = 173, which is 173.

Solve 9x − 7 = 173

How to work it out

Trying values of x in 9x − 7 = 173

Questions

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