Solve 9x − 7 = 164

The solution of 9x − 7 = 164 is x = 19.

9x - 7 = 164\ \Rightarrow\ x = 19

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The lines y = 9x − 7 and y = 164 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.
$9x - 7 = 164$
2
Add 7 to both sides:
$9x - 7 + 7 = 164 + 7 \ \Rightarrow\ 9x = 171$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{171}{9} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$9\cdot19 - 7 = 171 - 7 = 164 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 7 = 164\ \Rightarrow\ x = 19 \]
\[ 9x - 7 = 164 \]
\[ 9x - 7 + 7 = 164 + 7 \ \Rightarrow\ 9x = 171 \]
\[ \frac{9x}{9} = \frac{171}{9} \ \Rightarrow\ x = 19 \]
\[ 9\cdot19 - 7 = 171 - 7 = 164 \checkmark \]

Trying values of x in 9x − 7 = 164

x	9x − 7	Equals 164?
17	146	no
18	155	no
19	164	yes
20	173	no
21	182	no

Questions

What is x in 9x − 7 = 164?

The solution of 9x − 7 = 164 is x = 19.

How do you solve 9x − 7 = 164?

Add 7 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) − 7 = 164, which is 164.

Solve 9x − 7 = 164

How to work it out

Trying values of x in 9x − 7 = 164

Questions

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