Solve 10x − 9 = 41

The solution of 10x − 9 = 41 is x = 5.

10x - 9 = 41\ \Rightarrow\ x = 5

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

The lines y = 10x − 9 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.
$10x - 9 = 41$
2
Add 9 to both sides:
$10x - 9 + 9 = 41 + 9 \ \Rightarrow\ 10x = 50$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$10\cdot5 - 9 = 50 - 9 = 41 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 9 = 41\ \Rightarrow\ x = 5 \]
\[ 10x - 9 = 41 \]
\[ 10x - 9 + 9 = 41 + 9 \ \Rightarrow\ 10x = 50 \]
\[ \frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5 \]
\[ 10\cdot5 - 9 = 50 - 9 = 41 \checkmark \]

Trying values of x in 10x − 9 = 41

x	10x − 9	Equals 41?
3	21	no
4	31	no
5	41	yes
6	51	no
7	61	no

Questions

What is x in 10x − 9 = 41?

The solution of 10x − 9 = 41 is x = 5.

How do you solve 10x − 9 = 41?

Add 9 to both sides to get 10x = 50, then divide both sides by 10 to get x = 5.

How do I check the answer?

Replace x by 5: 10(5) − 9 = 41, which is 41.

Solve 10x − 9 = 41

How to work it out

Trying values of x in 10x − 9 = 41

Questions

Similar equations