Solve 6x − 9 = 33

The solution of 6x − 9 = 33 is x = 7.

6x - 9 = 33\ \Rightarrow\ x = 7

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

The lines y = 6x − 9 and y = 33 meet at x = 7. 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.
$6x - 9 = 33$
2
Add 9 to both sides:
$6x - 9 + 9 = 33 + 9 \ \Rightarrow\ 6x = 42$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{42}{6} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$6\cdot7 - 9 = 42 - 9 = 33 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 9 = 33\ \Rightarrow\ x = 7 \]
\[ 6x - 9 = 33 \]
\[ 6x - 9 + 9 = 33 + 9 \ \Rightarrow\ 6x = 42 \]
\[ \frac{6x}{6} = \frac{42}{6} \ \Rightarrow\ x = 7 \]
\[ 6\cdot7 - 9 = 42 - 9 = 33 \checkmark \]

Trying values of x in 6x − 9 = 33

x	6x − 9	Equals 33?
5	21	no
6	27	no
7	33	yes
8	39	no
9	45	no

Questions

What is x in 6x − 9 = 33?

The solution of 6x − 9 = 33 is x = 7.

How do you solve 6x − 9 = 33?

Add 9 to both sides to get 6x = 42, then divide both sides by 6 to get x = 7.

How do I check the answer?

Replace x by 7: 6(7) − 9 = 33, which is 33.

Solve 6x − 9 = 33

How to work it out

Trying values of x in 6x − 9 = 33

Questions

Similar equations