Solve 9x − 5 = 49

The solution of 9x − 5 = 49 is x = 6.

9x - 5 = 49\ \Rightarrow\ x = 6

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

The lines y = 9x − 5 and y = 49 meet at x = 6. 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.
$9x - 5 = 49$
2
Add 5 to both sides:
$9x - 5 + 5 = 49 + 5 \ \Rightarrow\ 9x = 54$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{54}{9} \ \Rightarrow\ x = 6$
4
Check: put x = 6 back into the equation.
$9\cdot6 - 5 = 54 - 5 = 49 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 5 = 49\ \Rightarrow\ x = 6 \]
\[ 9x - 5 = 49 \]
\[ 9x - 5 + 5 = 49 + 5 \ \Rightarrow\ 9x = 54 \]
\[ \frac{9x}{9} = \frac{54}{9} \ \Rightarrow\ x = 6 \]
\[ 9\cdot6 - 5 = 54 - 5 = 49 \checkmark \]

Trying values of x in 9x − 5 = 49

x	9x − 5	Equals 49?
4	31	no
5	40	no
6	49	yes
7	58	no
8	67	no

Questions

What is x in 9x − 5 = 49?

The solution of 9x − 5 = 49 is x = 6.

How do you solve 9x − 5 = 49?

Add 5 to both sides to get 9x = 54, then divide both sides by 9 to get x = 6.

How do I check the answer?

Replace x by 6: 9(6) − 5 = 49, which is 49.

Solve 9x − 5 = 49

How to work it out

Trying values of x in 9x − 5 = 49

Questions

Similar equations