Solve 9x − 4 = 41

The solution of 9x − 4 = 41 is x = 5.

9x - 4 = 41\ \Rightarrow\ x = 5

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

The lines y = 9x − 4 and y = 41 meet at x = 5. 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.
$9x - 4 = 41$
2
Add 4 to both sides:
$9x - 4 + 4 = 41 + 4 \ \Rightarrow\ 9x = 45$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{45}{9} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$9\cdot5 - 4 = 45 - 4 = 41 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 4 = 41\ \Rightarrow\ x = 5 \]
\[ 9x - 4 = 41 \]
\[ 9x - 4 + 4 = 41 + 4 \ \Rightarrow\ 9x = 45 \]
\[ \frac{9x}{9} = \frac{45}{9} \ \Rightarrow\ x = 5 \]
\[ 9\cdot5 - 4 = 45 - 4 = 41 \checkmark \]

Trying values of x in 9x − 4 = 41

x	9x − 4	Equals 41?
3	23	no
4	32	no
5	41	yes
6	50	no
7	59	no

Questions

What is x in 9x − 4 = 41?

The solution of 9x − 4 = 41 is x = 5.

How do you solve 9x − 4 = 41?

Add 4 to both sides to get 9x = 45, then divide both sides by 9 to get x = 5.

How do I check the answer?

Replace x by 5: 9(5) − 4 = 41, which is 41.

Solve 9x − 4 = 41

How to work it out

Trying values of x in 9x − 4 = 41

Questions

Similar equations