Solve 12x − 12 = 108

The solution of 12x − 12 = 108 is x = 10.

12x - 12 = 108\ \Rightarrow\ x = 10

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

The lines y = 12x − 12 and y = 108 meet at x = 10. 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.
$12x - 12 = 108$
2
Add 12 to both sides:
$12x - 12 + 12 = 108 + 12 \ \Rightarrow\ 12x = 120$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$12\cdot10 - 12 = 120 - 12 = 108 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 12 = 108\ \Rightarrow\ x = 10 \]
\[ 12x - 12 = 108 \]
\[ 12x - 12 + 12 = 108 + 12 \ \Rightarrow\ 12x = 120 \]
\[ \frac{12x}{12} = \frac{120}{12} \ \Rightarrow\ x = 10 \]
\[ 12\cdot10 - 12 = 120 - 12 = 108 \checkmark \]

Trying values of x in 12x − 12 = 108

x	12x − 12	Equals 108?
8	84	no
9	96	no
10	108	yes
11	120	no
12	132	no

Questions

What is x in 12x − 12 = 108?

The solution of 12x − 12 = 108 is x = 10.

How do you solve 12x − 12 = 108?

Add 12 to both sides to get 12x = 120, then divide both sides by 12 to get x = 10.

How do I check the answer?

Replace x by 10: 12(10) − 12 = 108, which is 108.

Solve 12x − 12 = 108

How to work it out

Trying values of x in 12x − 12 = 108

Questions

Similar equations