Solve 9x − 4 = 104

The solution of 9x − 4 = 104 is x = 12.

9x - 4 = 104\ \Rightarrow\ x = 12

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

The lines y = 9x − 4 and y = 104 meet at x = 12. 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.
$9x - 4 = 104$
2
Add 4 to both sides:
$9x - 4 + 4 = 104 + 4 \ \Rightarrow\ 9x = 108$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{108}{9} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$9\cdot12 - 4 = 108 - 4 = 104 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 4 = 104\ \Rightarrow\ x = 12 \]
\[ 9x - 4 = 104 \]
\[ 9x - 4 + 4 = 104 + 4 \ \Rightarrow\ 9x = 108 \]
\[ \frac{9x}{9} = \frac{108}{9} \ \Rightarrow\ x = 12 \]
\[ 9\cdot12 - 4 = 108 - 4 = 104 \checkmark \]

Trying values of x in 9x − 4 = 104

x	9x − 4	Equals 104?
10	86	no
11	95	no
12	104	yes
13	113	no
14	122	no

Questions

What is x in 9x − 4 = 104?

The solution of 9x − 4 = 104 is x = 12.

How do you solve 9x − 4 = 104?

Add 4 to both sides to get 9x = 108, then divide both sides by 9 to get x = 12.

How do I check the answer?

Replace x by 12: 9(12) − 4 = 104, which is 104.

Solve 9x − 4 = 104

How to work it out

Trying values of x in 9x − 4 = 104

Questions

Similar equations