Solve 6x − 1 = 107

The solution of 6x − 1 = 107 is x = 18.

6x - 1 = 107\ \Rightarrow\ x = 18

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

The lines y = 6x − 1 and y = 107 meet at x = 18. 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.
$6x - 1 = 107$
2
Add 1 to both sides:
$6x - 1 + 1 = 107 + 1 \ \Rightarrow\ 6x = 108$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$6\cdot18 - 1 = 108 - 1 = 107 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 1 = 107\ \Rightarrow\ x = 18 \]
\[ 6x - 1 = 107 \]
\[ 6x - 1 + 1 = 107 + 1 \ \Rightarrow\ 6x = 108 \]
\[ \frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18 \]
\[ 6\cdot18 - 1 = 108 - 1 = 107 \checkmark \]

Trying values of x in 6x − 1 = 107

x	6x − 1	Equals 107?
16	95	no
17	101	no
18	107	yes
19	113	no
20	119	no

Questions

What is x in 6x − 1 = 107?

The solution of 6x − 1 = 107 is x = 18.

How do you solve 6x − 1 = 107?

Add 1 to both sides to get 6x = 108, then divide both sides by 6 to get x = 18.

How do I check the answer?

Replace x by 18: 6(18) − 1 = 107, which is 107.

Solve 6x − 1 = 107

How to work it out

Trying values of x in 6x − 1 = 107

Questions

Similar equations