Solve 6x − 1 = 53

The solution of 6x − 1 = 53 is x = 9.

6x - 1 = 53\ \Rightarrow\ x = 9

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

The lines y = 6x − 1 and y = 53 meet at x = 9. 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.
$6x - 1 = 53$
2
Add 1 to both sides:
$6x - 1 + 1 = 53 + 1 \ \Rightarrow\ 6x = 54$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{54}{6} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$6\cdot9 - 1 = 54 - 1 = 53 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 1 = 53\ \Rightarrow\ x = 9 \]
\[ 6x - 1 = 53 \]
\[ 6x - 1 + 1 = 53 + 1 \ \Rightarrow\ 6x = 54 \]
\[ \frac{6x}{6} = \frac{54}{6} \ \Rightarrow\ x = 9 \]
\[ 6\cdot9 - 1 = 54 - 1 = 53 \checkmark \]

Trying values of x in 6x − 1 = 53

x	6x − 1	Equals 53?
7	41	no
8	47	no
9	53	yes
10	59	no
11	65	no

Questions

What is x in 6x − 1 = 53?

The solution of 6x − 1 = 53 is x = 9.

How do you solve 6x − 1 = 53?

Add 1 to both sides to get 6x = 54, then divide both sides by 6 to get x = 9.

How do I check the answer?

Replace x by 9: 6(9) − 1 = 53, which is 53.

Solve 6x − 1 = 53

How to work it out

Trying values of x in 6x − 1 = 53

Questions

Similar equations