Solve 6x − 1 = 71

The solution of 6x − 1 = 71 is x = 12.

6x - 1 = 71\ \Rightarrow\ x = 12

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The lines y = 6x − 1 and y = 71 meet at x = 12. 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.
$6x - 1 = 71$
2
Add 1 to both sides:
$6x - 1 + 1 = 71 + 1 \ \Rightarrow\ 6x = 72$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$6\cdot12 - 1 = 72 - 1 = 71 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 1 = 71\ \Rightarrow\ x = 12 \]
\[ 6x - 1 = 71 \]
\[ 6x - 1 + 1 = 71 + 1 \ \Rightarrow\ 6x = 72 \]
\[ \frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12 \]
\[ 6\cdot12 - 1 = 72 - 1 = 71 \checkmark \]

Trying values of x in 6x − 1 = 71

x	6x − 1	Equals 71?
10	59	no
11	65	no
12	71	yes
13	77	no
14	83	no

Questions

What is x in 6x − 1 = 71?

The solution of 6x − 1 = 71 is x = 12.

How do you solve 6x − 1 = 71?

Add 1 to both sides to get 6x = 72, then divide both sides by 6 to get x = 12.

How do I check the answer?

Replace x by 12: 6(12) − 1 = 71, which is 71.

Solve 6x − 1 = 71

How to work it out

Trying values of x in 6x − 1 = 71

Questions

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