Solve 9x − 4 = 113

The solution of 9x − 4 = 113 is x = 13.

9x - 4 = 113\ \Rightarrow\ x = 13

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

The lines y = 9x − 4 and y = 113 meet at x = 13. 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.
$9x - 4 = 113$
2
Add 4 to both sides:
$9x - 4 + 4 = 113 + 4 \ \Rightarrow\ 9x = 117$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{117}{9} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$9\cdot13 - 4 = 117 - 4 = 113 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 4 = 113\ \Rightarrow\ x = 13 \]
\[ 9x - 4 = 113 \]
\[ 9x - 4 + 4 = 113 + 4 \ \Rightarrow\ 9x = 117 \]
\[ \frac{9x}{9} = \frac{117}{9} \ \Rightarrow\ x = 13 \]
\[ 9\cdot13 - 4 = 117 - 4 = 113 \checkmark \]

Trying values of x in 9x − 4 = 113

x	9x − 4	Equals 113?
11	95	no
12	104	no
13	113	yes
14	122	no
15	131	no

Questions

What is x in 9x − 4 = 113?

The solution of 9x − 4 = 113 is x = 13.

How do you solve 9x − 4 = 113?

Add 4 to both sides to get 9x = 117, then divide both sides by 9 to get x = 13.

How do I check the answer?

Replace x by 13: 9(13) − 4 = 113, which is 113.

Solve 9x − 4 = 113

How to work it out

Trying values of x in 9x − 4 = 113

Questions

Similar equations