Solve 10x − 1 = −41

The solution of 10x − 1 = −41 is x = -4.

10x - 1 = -41\ \Rightarrow\ x = -4

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

The lines y = 10x − 1 and y = -41 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.
$10x - 1 = -41$
2
Add 1 to both sides:
$10x - 1 + 1 = -41 + 1 \ \Rightarrow\ 10x = -40$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-40}{10} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$10\cdot(-4) - 1 = -40 - 1 = -41 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 1 = -41\ \Rightarrow\ x = -4 \]
\[ 10x - 1 = -41 \]
\[ 10x - 1 + 1 = -41 + 1 \ \Rightarrow\ 10x = -40 \]
\[ \frac{10x}{10} = \frac{-40}{10} \ \Rightarrow\ x = -4 \]
\[ 10\cdot(-4) - 1 = -40 - 1 = -41 \checkmark \]

Trying values of x in 10x − 1 = −41

x	10x − 1	Equals -41?
-6	-61	no
-5	-51	no
-4	-41	yes
-3	-31	no
-2	-21	no

Questions

What is x in 10x − 1 = −41?

The solution of 10x − 1 = −41 is x = -4.

How do you solve 10x − 1 = −41?

Add 1 to both sides to get 10x = -40, then divide both sides by 10 to get x = -4.

How do I check the answer?

Replace x by -4: 10(-4) − 1 = -41, which is -41.

Solve 10x − 1 = −41

How to work it out

Trying values of x in 10x − 1 = −41

Questions

Similar equations