Solve 9x − 10 = 53

The solution of 9x − 10 = 53 is x = 7.

9x - 10 = 53\ \Rightarrow\ x = 7

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

The lines y = 9x − 10 and y = 53 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.
$9x - 10 = 53$
2
Add 10 to both sides:
$9x - 10 + 10 = 53 + 10 \ \Rightarrow\ 9x = 63$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{63}{9} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$9\cdot7 - 10 = 63 - 10 = 53 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 10 = 53\ \Rightarrow\ x = 7 \]
\[ 9x - 10 = 53 \]
\[ 9x - 10 + 10 = 53 + 10 \ \Rightarrow\ 9x = 63 \]
\[ \frac{9x}{9} = \frac{63}{9} \ \Rightarrow\ x = 7 \]
\[ 9\cdot7 - 10 = 63 - 10 = 53 \checkmark \]

Trying values of x in 9x − 10 = 53

x	9x − 10	Equals 53?
5	35	no
6	44	no
7	53	yes
8	62	no
9	71	no

Questions

What is x in 9x − 10 = 53?

The solution of 9x − 10 = 53 is x = 7.

How do you solve 9x − 10 = 53?

Add 10 to both sides to get 9x = 63, then divide both sides by 9 to get x = 7.

How do I check the answer?

Replace x by 7: 9(7) − 10 = 53, which is 53.

Solve 9x − 10 = 53

How to work it out

Trying values of x in 9x − 10 = 53

Questions

Similar equations