Solve 7x − 10 = 60

The solution of 7x − 10 = 60 is x = 10.

7x - 10 = 60\ \Rightarrow\ x = 10

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

The lines y = 7x − 10 and y = 60 meet at x = 10. 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.
$7x - 10 = 60$
2
Add 10 to both sides:
$7x - 10 + 10 = 60 + 10 \ \Rightarrow\ 7x = 70$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$7\cdot10 - 10 = 70 - 10 = 60 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 10 = 60\ \Rightarrow\ x = 10 \]
\[ 7x - 10 = 60 \]
\[ 7x - 10 + 10 = 60 + 10 \ \Rightarrow\ 7x = 70 \]
\[ \frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10 \]
\[ 7\cdot10 - 10 = 70 - 10 = 60 \checkmark \]

Trying values of x in 7x − 10 = 60

x	7x − 10	Equals 60?
8	46	no
9	53	no
10	60	yes
11	67	no
12	74	no

Questions

What is x in 7x − 10 = 60?

The solution of 7x − 10 = 60 is x = 10.

How do you solve 7x − 10 = 60?

Add 10 to both sides to get 7x = 70, then divide both sides by 7 to get x = 10.

How do I check the answer?

Replace x by 10: 7(10) − 10 = 60, which is 60.

Solve 7x − 10 = 60

How to work it out

Trying values of x in 7x − 10 = 60

Questions

Similar equations