Solve 12x − 1 = 71

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

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

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The lines y = 12x − 1 and y = 71 meet at x = 6. 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.
$12x - 1 = 71$
2
Add 1 to both sides:
$12x - 1 + 1 = 71 + 1 \ \Rightarrow\ 12x = 72$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$12\cdot6 - 1 = 72 - 1 = 71 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 1 = 71\ \Rightarrow\ x = 6 \]
\[ 12x - 1 = 71 \]
\[ 12x - 1 + 1 = 71 + 1 \ \Rightarrow\ 12x = 72 \]
\[ \frac{12x}{12} = \frac{72}{12} \ \Rightarrow\ x = 6 \]
\[ 12\cdot6 - 1 = 72 - 1 = 71 \checkmark \]

Trying values of x in 12x − 1 = 71

x	12x − 1	Equals 71?
4	47	no
5	59	no
6	71	yes
7	83	no
8	95	no

Questions

What is x in 12x − 1 = 71?

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

How do you solve 12x − 1 = 71?

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

How do I check the answer?

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

Solve 12x − 1 = 71

How to work it out

Trying values of x in 12x − 1 = 71

Questions

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