Solve 7x − 10 = 39

The solution of 7x − 10 = 39 is x = 7.

7x - 10 = 39\ \Rightarrow\ x = 7

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

The lines y = 7x − 10 and y = 39 meet at x = 7. 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.
$7x - 10 = 39$
2
Add 10 to both sides:
$7x - 10 + 10 = 39 + 10 \ \Rightarrow\ 7x = 49$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{49}{7} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$7\cdot7 - 10 = 49 - 10 = 39 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 10 = 39\ \Rightarrow\ x = 7 \]
\[ 7x - 10 = 39 \]
\[ 7x - 10 + 10 = 39 + 10 \ \Rightarrow\ 7x = 49 \]
\[ \frac{7x}{7} = \frac{49}{7} \ \Rightarrow\ x = 7 \]
\[ 7\cdot7 - 10 = 49 - 10 = 39 \checkmark \]

Trying values of x in 7x − 10 = 39

x	7x − 10	Equals 39?
5	25	no
6	32	no
7	39	yes
8	46	no
9	53	no

Questions

What is x in 7x − 10 = 39?

The solution of 7x − 10 = 39 is x = 7.

How do you solve 7x − 10 = 39?

Add 10 to both sides to get 7x = 49, then divide both sides by 7 to get x = 7.

How do I check the answer?

Replace x by 7: 7(7) − 10 = 39, which is 39.

Solve 7x − 10 = 39

How to work it out

Trying values of x in 7x − 10 = 39

Questions

Similar equations