Solve 10x − 10 = 120

The solution of 10x − 10 = 120 is x = 13.

10x - 10 = 120\ \Rightarrow\ x = 13

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

The lines y = 10x − 10 and y = 120 meet at x = 13. 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.
$10x - 10 = 120$
2
Add 10 to both sides:
$10x - 10 + 10 = 120 + 10 \ \Rightarrow\ 10x = 130$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{130}{10} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$10\cdot13 - 10 = 130 - 10 = 120 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 10 = 120\ \Rightarrow\ x = 13 \]
\[ 10x - 10 = 120 \]
\[ 10x - 10 + 10 = 120 + 10 \ \Rightarrow\ 10x = 130 \]
\[ \frac{10x}{10} = \frac{130}{10} \ \Rightarrow\ x = 13 \]
\[ 10\cdot13 - 10 = 130 - 10 = 120 \checkmark \]

Trying values of x in 10x − 10 = 120

x	10x − 10	Equals 120?
11	100	no
12	110	no
13	120	yes
14	130	no
15	140	no

Questions

What is x in 10x − 10 = 120?

The solution of 10x − 10 = 120 is x = 13.

How do you solve 10x − 10 = 120?

Add 10 to both sides to get 10x = 130, then divide both sides by 10 to get x = 13.

How do I check the answer?

Replace x by 13: 10(13) − 10 = 120, which is 120.

Solve 10x − 10 = 120

How to work it out

Trying values of x in 10x − 10 = 120

Questions

Similar equations