Solve 6x − 1 = 83

The solution of 6x − 1 = 83 is x = 14.

6x - 1 = 83\ \Rightarrow\ x = 14

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

The lines y = 6x − 1 and y = 83 meet at x = 14. 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.
$6x - 1 = 83$
2
Add 1 to both sides:
$6x - 1 + 1 = 83 + 1 \ \Rightarrow\ 6x = 84$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{84}{6} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$6\cdot14 - 1 = 84 - 1 = 83 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 1 = 83\ \Rightarrow\ x = 14 \]
\[ 6x - 1 = 83 \]
\[ 6x - 1 + 1 = 83 + 1 \ \Rightarrow\ 6x = 84 \]
\[ \frac{6x}{6} = \frac{84}{6} \ \Rightarrow\ x = 14 \]
\[ 6\cdot14 - 1 = 84 - 1 = 83 \checkmark \]

Trying values of x in 6x − 1 = 83

x	6x − 1	Equals 83?
12	71	no
13	77	no
14	83	yes
15	89	no
16	95	no

Questions

What is x in 6x − 1 = 83?

The solution of 6x − 1 = 83 is x = 14.

How do you solve 6x − 1 = 83?

Add 1 to both sides to get 6x = 84, then divide both sides by 6 to get x = 14.

How do I check the answer?

Replace x by 14: 6(14) − 1 = 83, which is 83.

Solve 6x − 1 = 83

How to work it out

Trying values of x in 6x − 1 = 83

Questions

Similar equations