Solve 10x − 10 = 70

The solution of 10x − 10 = 70 is x = 8.

10x - 10 = 70\ \Rightarrow\ x = 8

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

The lines y = 10x − 10 and y = 70 meet at x = 8. 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.
$10x - 10 = 70$
2
Add 10 to both sides:
$10x - 10 + 10 = 70 + 10 \ \Rightarrow\ 10x = 80$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$10\cdot8 - 10 = 80 - 10 = 70 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 10 = 70\ \Rightarrow\ x = 8 \]
\[ 10x - 10 = 70 \]
\[ 10x - 10 + 10 = 70 + 10 \ \Rightarrow\ 10x = 80 \]
\[ \frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8 \]
\[ 10\cdot8 - 10 = 80 - 10 = 70 \checkmark \]

Trying values of x in 10x − 10 = 70

x	10x − 10	Equals 70?
6	50	no
7	60	no
8	70	yes
9	80	no
10	90	no

Questions

What is x in 10x − 10 = 70?

The solution of 10x − 10 = 70 is x = 8.

How do you solve 10x − 10 = 70?

Add 10 to both sides to get 10x = 80, then divide both sides by 10 to get x = 8.

How do I check the answer?

Replace x by 8: 10(8) − 10 = 70, which is 70.

Solve 10x − 10 = 70

How to work it out

Trying values of x in 10x − 10 = 70

Questions

Similar equations