Solve 9x − 13 = 149

The solution of 9x − 13 = 149 is x = 18.

9x - 13 = 149\ \Rightarrow\ x = 18

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

The lines y = 9x − 13 and y = 149 meet at x = 18. 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.
$9x - 13 = 149$
2
Add 13 to both sides:
$9x - 13 + 13 = 149 + 13 \ \Rightarrow\ 9x = 162$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{162}{9} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$9\cdot18 - 13 = 162 - 13 = 149 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 13 = 149\ \Rightarrow\ x = 18 \]
\[ 9x - 13 = 149 \]
\[ 9x - 13 + 13 = 149 + 13 \ \Rightarrow\ 9x = 162 \]
\[ \frac{9x}{9} = \frac{162}{9} \ \Rightarrow\ x = 18 \]
\[ 9\cdot18 - 13 = 162 - 13 = 149 \checkmark \]

Trying values of x in 9x − 13 = 149

x	9x − 13	Equals 149?
16	131	no
17	140	no
18	149	yes
19	158	no
20	167	no

Questions

What is x in 9x − 13 = 149?

The solution of 9x − 13 = 149 is x = 18.

How do you solve 9x − 13 = 149?

Add 13 to both sides to get 9x = 162, then divide both sides by 9 to get x = 18.

How do I check the answer?

Replace x by 18: 9(18) − 13 = 149, which is 149.

Solve 9x − 13 = 149

How to work it out

Trying values of x in 9x − 13 = 149

Questions

Similar equations