Solve 9x − 4 = 122

The solution of 9x − 4 = 122 is x = 14.

9x - 4 = 122\ \Rightarrow\ x = 14

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

The lines y = 9x − 4 and y = 122 meet at x = 14. 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.
$9x - 4 = 122$
2
Add 4 to both sides:
$9x - 4 + 4 = 122 + 4 \ \Rightarrow\ 9x = 126$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{126}{9} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$9\cdot14 - 4 = 126 - 4 = 122 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 4 = 122\ \Rightarrow\ x = 14 \]
\[ 9x - 4 = 122 \]
\[ 9x - 4 + 4 = 122 + 4 \ \Rightarrow\ 9x = 126 \]
\[ \frac{9x}{9} = \frac{126}{9} \ \Rightarrow\ x = 14 \]
\[ 9\cdot14 - 4 = 126 - 4 = 122 \checkmark \]

Trying values of x in 9x − 4 = 122

x	9x − 4	Equals 122?
12	104	no
13	113	no
14	122	yes
15	131	no
16	140	no

Questions

What is x in 9x − 4 = 122?

The solution of 9x − 4 = 122 is x = 14.

How do you solve 9x − 4 = 122?

Add 4 to both sides to get 9x = 126, then divide both sides by 9 to get x = 14.

How do I check the answer?

Replace x by 14: 9(14) − 4 = 122, which is 122.

Solve 9x − 4 = 122

How to work it out

Trying values of x in 9x − 4 = 122

Questions

Similar equations