Solve 9x − 4 = 32

The solution of 9x − 4 = 32 is x = 4.

9x - 4 = 32\ \Rightarrow\ x = 4

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

The lines y = 9x − 4 and y = 32 meet at x = 4. 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.
$9x - 4 = 32$
2
Add 4 to both sides:
$9x - 4 + 4 = 32 + 4 \ \Rightarrow\ 9x = 36$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{36}{9} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$9\cdot4 - 4 = 36 - 4 = 32 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 4 = 32\ \Rightarrow\ x = 4 \]
\[ 9x - 4 = 32 \]
\[ 9x - 4 + 4 = 32 + 4 \ \Rightarrow\ 9x = 36 \]
\[ \frac{9x}{9} = \frac{36}{9} \ \Rightarrow\ x = 4 \]
\[ 9\cdot4 - 4 = 36 - 4 = 32 \checkmark \]

Trying values of x in 9x − 4 = 32

x	9x − 4	Equals 32?
2	14	no
3	23	no
4	32	yes
5	41	no
6	50	no

Questions

What is x in 9x − 4 = 32?

The solution of 9x − 4 = 32 is x = 4.

How do you solve 9x − 4 = 32?

Add 4 to both sides to get 9x = 36, then divide both sides by 9 to get x = 4.

How do I check the answer?

Replace x by 4: 9(4) − 4 = 32, which is 32.

Solve 9x − 4 = 32

How to work it out

Trying values of x in 9x − 4 = 32

Questions

Similar equations