Solve 9x − 14 = 13

The solution of 9x − 14 = 13 is x = 3.

9x - 14 = 13\ \Rightarrow\ x = 3

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

The lines y = 9x − 14 and y = 13 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.
$9x - 14 = 13$
2
Add 14 to both sides:
$9x - 14 + 14 = 13 + 14 \ \Rightarrow\ 9x = 27$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{27}{9} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$9\cdot3 - 14 = 27 - 14 = 13 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 14 = 13\ \Rightarrow\ x = 3 \]
\[ 9x - 14 = 13 \]
\[ 9x - 14 + 14 = 13 + 14 \ \Rightarrow\ 9x = 27 \]
\[ \frac{9x}{9} = \frac{27}{9} \ \Rightarrow\ x = 3 \]
\[ 9\cdot3 - 14 = 27 - 14 = 13 \checkmark \]

Trying values of x in 9x − 14 = 13

x	9x − 14	Equals 13?
1	-5	no
2	4	no
3	13	yes
4	22	no
5	31	no

Questions

What is x in 9x − 14 = 13?

The solution of 9x − 14 = 13 is x = 3.

How do you solve 9x − 14 = 13?

Add 14 to both sides to get 9x = 27, then divide both sides by 9 to get x = 3.

How do I check the answer?

Replace x by 3: 9(3) − 14 = 13, which is 13.

Solve 9x − 14 = 13

How to work it out

Trying values of x in 9x − 14 = 13

Questions

Similar equations