Solve 5x − 9 = 36

The solution of 5x − 9 = 36 is x = 9.

5x - 9 = 36\ \Rightarrow\ x = 9

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

The lines y = 5x − 9 and y = 36 meet at x = 9. 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.
$5x - 9 = 36$
2
Add 9 to both sides:
$5x - 9 + 9 = 36 + 9 \ \Rightarrow\ 5x = 45$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{45}{5} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$5\cdot9 - 9 = 45 - 9 = 36 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 9 = 36\ \Rightarrow\ x = 9 \]
\[ 5x - 9 = 36 \]
\[ 5x - 9 + 9 = 36 + 9 \ \Rightarrow\ 5x = 45 \]
\[ \frac{5x}{5} = \frac{45}{5} \ \Rightarrow\ x = 9 \]
\[ 5\cdot9 - 9 = 45 - 9 = 36 \checkmark \]

Trying values of x in 5x − 9 = 36

x	5x − 9	Equals 36?
7	26	no
8	31	no
9	36	yes
10	41	no
11	46	no

Questions

What is x in 5x − 9 = 36?

The solution of 5x − 9 = 36 is x = 9.

How do you solve 5x − 9 = 36?

Add 9 to both sides to get 5x = 45, then divide both sides by 5 to get x = 9.

How do I check the answer?

Replace x by 9: 5(9) − 9 = 36, which is 36.

Solve 5x − 9 = 36

How to work it out

Trying values of x in 5x − 9 = 36

Questions

Similar equations