Solve 12x − 11 = 97

The solution of 12x − 11 = 97 is x = 9.

12x - 11 = 97\ \Rightarrow\ x = 9

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

The lines y = 12x − 11 and y = 97 meet at x = 9. 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.
$12x - 11 = 97$
2
Add 11 to both sides:
$12x - 11 + 11 = 97 + 11 \ \Rightarrow\ 12x = 108$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{108}{12} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$12\cdot9 - 11 = 108 - 11 = 97 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 11 = 97\ \Rightarrow\ x = 9 \]
\[ 12x - 11 = 97 \]
\[ 12x - 11 + 11 = 97 + 11 \ \Rightarrow\ 12x = 108 \]
\[ \frac{12x}{12} = \frac{108}{12} \ \Rightarrow\ x = 9 \]
\[ 12\cdot9 - 11 = 108 - 11 = 97 \checkmark \]

Trying values of x in 12x − 11 = 97

x	12x − 11	Equals 97?
7	73	no
8	85	no
9	97	yes
10	109	no
11	121	no

Questions

What is x in 12x − 11 = 97?

The solution of 12x − 11 = 97 is x = 9.

How do you solve 12x − 11 = 97?

Add 11 to both sides to get 12x = 108, then divide both sides by 12 to get x = 9.

How do I check the answer?

Replace x by 9: 12(9) − 11 = 97, which is 97.

Solve 12x − 11 = 97

How to work it out

Trying values of x in 12x − 11 = 97

Questions

Similar equations