Solve 12x − 2 = 22

The solution of 12x − 2 = 22 is x = 2.

12x - 2 = 22\ \Rightarrow\ x = 2

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

The lines y = 12x − 2 and y = 22 meet at x = 2. 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.
$12x - 2 = 22$
2
Add 2 to both sides:
$12x - 2 + 2 = 22 + 2 \ \Rightarrow\ 12x = 24$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{24}{12} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$12\cdot2 - 2 = 24 - 2 = 22 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 2 = 22\ \Rightarrow\ x = 2 \]
\[ 12x - 2 = 22 \]
\[ 12x - 2 + 2 = 22 + 2 \ \Rightarrow\ 12x = 24 \]
\[ \frac{12x}{12} = \frac{24}{12} \ \Rightarrow\ x = 2 \]
\[ 12\cdot2 - 2 = 24 - 2 = 22 \checkmark \]

Trying values of x in 12x − 2 = 22

x	12x − 2	Equals 22?
0	-2	no
1	10	no
2	22	yes
3	34	no
4	46	no

Questions

What is x in 12x − 2 = 22?

The solution of 12x − 2 = 22 is x = 2.

How do you solve 12x − 2 = 22?

Add 2 to both sides to get 12x = 24, then divide both sides by 12 to get x = 2.

How do I check the answer?

Replace x by 2: 12(2) − 2 = 22, which is 22.

Solve 12x − 2 = 22

How to work it out

Trying values of x in 12x − 2 = 22

Questions

Similar equations