Solve 5x − 1 = 9

The solution of 5x − 1 = 9 is x = 2.

5x - 1 = 9\ \Rightarrow\ x = 2

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

The lines y = 5x − 1 and y = 9 meet at x = 2. 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.
$5x - 1 = 9$
2
Add 1 to both sides:
$5x - 1 + 1 = 9 + 1 \ \Rightarrow\ 5x = 10$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{10}{5} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$5\cdot2 - 1 = 10 - 1 = 9 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 1 = 9\ \Rightarrow\ x = 2 \]
\[ 5x - 1 = 9 \]
\[ 5x - 1 + 1 = 9 + 1 \ \Rightarrow\ 5x = 10 \]
\[ \frac{5x}{5} = \frac{10}{5} \ \Rightarrow\ x = 2 \]
\[ 5\cdot2 - 1 = 10 - 1 = 9 \checkmark \]

Trying values of x in 5x − 1 = 9

x	5x − 1	Equals 9?
0	-1	no
1	4	no
2	9	yes
3	14	no
4	19	no

Questions

What is x in 5x − 1 = 9?

The solution of 5x − 1 = 9 is x = 2.

How do you solve 5x − 1 = 9?

Add 1 to both sides to get 5x = 10, then divide both sides by 5 to get x = 2.

How do I check the answer?

Replace x by 2: 5(2) − 1 = 9, which is 9.

Solve 5x − 1 = 9

How to work it out

Trying values of x in 5x − 1 = 9

Questions

Similar equations