Solve 3x − 2 = 22

The solution of 3x − 2 = 22 is x = 8.

3x - 2 = 22\ \Rightarrow\ x = 8

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

The lines y = 3x − 2 and y = 22 meet at x = 8. 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.
$3x - 2 = 22$
2
Add 2 to both sides:
$3x - 2 + 2 = 22 + 2 \ \Rightarrow\ 3x = 24$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{24}{3} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$3\cdot8 - 2 = 24 - 2 = 22 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 2 = 22\ \Rightarrow\ x = 8 \]
\[ 3x - 2 = 22 \]
\[ 3x - 2 + 2 = 22 + 2 \ \Rightarrow\ 3x = 24 \]
\[ \frac{3x}{3} = \frac{24}{3} \ \Rightarrow\ x = 8 \]
\[ 3\cdot8 - 2 = 24 - 2 = 22 \checkmark \]

Trying values of x in 3x − 2 = 22

x	3x − 2	Equals 22?
6	16	no
7	19	no
8	22	yes
9	25	no
10	28	no

Questions

What is x in 3x − 2 = 22?

The solution of 3x − 2 = 22 is x = 8.

How do you solve 3x − 2 = 22?

Add 2 to both sides to get 3x = 24, then divide both sides by 3 to get x = 8.

How do I check the answer?

Replace x by 8: 3(8) − 2 = 22, which is 22.

Solve 3x − 2 = 22

How to work it out

Trying values of x in 3x − 2 = 22

Questions

Similar equations