Solve 6x − 1 = 17

The solution of 6x − 1 = 17 is x = 3.

6x - 1 = 17\ \Rightarrow\ x = 3

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

The lines y = 6x − 1 and y = 17 meet at x = 3. 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.
$6x - 1 = 17$
2
Add 1 to both sides:
$6x - 1 + 1 = 17 + 1 \ \Rightarrow\ 6x = 18$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$6\cdot3 - 1 = 18 - 1 = 17 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 1 = 17\ \Rightarrow\ x = 3 \]
\[ 6x - 1 = 17 \]
\[ 6x - 1 + 1 = 17 + 1 \ \Rightarrow\ 6x = 18 \]
\[ \frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3 \]
\[ 6\cdot3 - 1 = 18 - 1 = 17 \checkmark \]

Trying values of x in 6x − 1 = 17

x	6x − 1	Equals 17?
1	5	no
2	11	no
3	17	yes
4	23	no
5	29	no

Questions

What is x in 6x − 1 = 17?

The solution of 6x − 1 = 17 is x = 3.

How do you solve 6x − 1 = 17?

Add 1 to both sides to get 6x = 18, then divide both sides by 6 to get x = 3.

How do I check the answer?

Replace x by 3: 6(3) − 1 = 17, which is 17.

Solve 6x − 1 = 17

How to work it out

Trying values of x in 6x − 1 = 17

Questions

Similar equations