Solve 8x − 2 = 22

The solution of 8x − 2 = 22 is x = 3.

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

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

The lines y = 8x − 2 and y = 22 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.
$8x - 2 = 22$
2
Add 2 to both sides:
$8x - 2 + 2 = 22 + 2 \ \Rightarrow\ 8x = 24$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$8\cdot3 - 2 = 24 - 2 = 22 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 2 = 22\ \Rightarrow\ x = 3 \]
\[ 8x - 2 = 22 \]
\[ 8x - 2 + 2 = 22 + 2 \ \Rightarrow\ 8x = 24 \]
\[ \frac{8x}{8} = \frac{24}{8} \ \Rightarrow\ x = 3 \]
\[ 8\cdot3 - 2 = 24 - 2 = 22 \checkmark \]

Trying values of x in 8x − 2 = 22

x	8x − 2	Equals 22?
1	6	no
2	14	no
3	22	yes
4	30	no
5	38	no

Questions

What is x in 8x − 2 = 22?

The solution of 8x − 2 = 22 is x = 3.

How do you solve 8x − 2 = 22?

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

How do I check the answer?

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

Solve 8x − 2 = 22

How to work it out

Trying values of x in 8x − 2 = 22

Questions

Similar equations