Solve 9x − 2 = 16

The solution of 9x − 2 = 16 is x = 2.

9x - 2 = 16\ \Rightarrow\ x = 2

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

The lines y = 9x − 2 and y = 16 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.
$9x - 2 = 16$
2
Add 2 to both sides:
$9x - 2 + 2 = 16 + 2 \ \Rightarrow\ 9x = 18$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{18}{9} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$9\cdot2 - 2 = 18 - 2 = 16 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 2 = 16\ \Rightarrow\ x = 2 \]
\[ 9x - 2 = 16 \]
\[ 9x - 2 + 2 = 16 + 2 \ \Rightarrow\ 9x = 18 \]
\[ \frac{9x}{9} = \frac{18}{9} \ \Rightarrow\ x = 2 \]
\[ 9\cdot2 - 2 = 18 - 2 = 16 \checkmark \]

Trying values of x in 9x − 2 = 16

x	9x − 2	Equals 16?
0	-2	no
1	7	no
2	16	yes
3	25	no
4	34	no

Questions

What is x in 9x − 2 = 16?

The solution of 9x − 2 = 16 is x = 2.

How do you solve 9x − 2 = 16?

Add 2 to both sides to get 9x = 18, then divide both sides by 9 to get x = 2.

How do I check the answer?

Replace x by 2: 9(2) − 2 = 16, which is 16.

Solve 9x − 2 = 16

How to work it out

Trying values of x in 9x − 2 = 16

Questions

Similar equations