Solve 10x − 10 = 40

The solution of 10x − 10 = 40 is x = 5.

10x - 10 = 40\ \Rightarrow\ x = 5

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

The lines y = 10x − 10 and y = 40 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.
$10x - 10 = 40$
2
Add 10 to both sides:
$10x - 10 + 10 = 40 + 10 \ \Rightarrow\ 10x = 50$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$10\cdot5 - 10 = 50 - 10 = 40 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 10 = 40\ \Rightarrow\ x = 5 \]
\[ 10x - 10 = 40 \]
\[ 10x - 10 + 10 = 40 + 10 \ \Rightarrow\ 10x = 50 \]
\[ \frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5 \]
\[ 10\cdot5 - 10 = 50 - 10 = 40 \checkmark \]

Trying values of x in 10x − 10 = 40

x	10x − 10	Equals 40?
3	20	no
4	30	no
5	40	yes
6	50	no
7	60	no

Questions

What is x in 10x − 10 = 40?

The solution of 10x − 10 = 40 is x = 5.

How do you solve 10x − 10 = 40?

Add 10 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) − 10 = 40, which is 40.

Solve 10x − 10 = 40

How to work it out

Trying values of x in 10x − 10 = 40

Questions

Similar equations