Solve 12x − 2 = 34

The solution of 12x − 2 = 34 is x = 3.

12x - 2 = 34\ \Rightarrow\ x = 3

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

The lines y = 12x − 2 and y = 34 meet at x = 3. 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.
$12x - 2 = 34$
2
Add 2 to both sides:
$12x - 2 + 2 = 34 + 2 \ \Rightarrow\ 12x = 36$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{36}{12} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$12\cdot3 - 2 = 36 - 2 = 34 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 2 = 34\ \Rightarrow\ x = 3 \]
\[ 12x - 2 = 34 \]
\[ 12x - 2 + 2 = 34 + 2 \ \Rightarrow\ 12x = 36 \]
\[ \frac{12x}{12} = \frac{36}{12} \ \Rightarrow\ x = 3 \]
\[ 12\cdot3 - 2 = 36 - 2 = 34 \checkmark \]

Trying values of x in 12x − 2 = 34

x	12x − 2	Equals 34?
1	10	no
2	22	no
3	34	yes
4	46	no
5	58	no

Questions

What is x in 12x − 2 = 34?

The solution of 12x − 2 = 34 is x = 3.

How do you solve 12x − 2 = 34?

Add 2 to both sides to get 12x = 36, then divide both sides by 12 to get x = 3.

How do I check the answer?

Replace x by 3: 12(3) − 2 = 34, which is 34.

Solve 12x − 2 = 34

How to work it out

Trying values of x in 12x − 2 = 34

Questions

Similar equations