Solve 9x − 12 = 33

The solution of 9x − 12 = 33 is x = 5.

9x - 12 = 33\ \Rightarrow\ x = 5

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The lines y = 9x − 12 and y = 33 meet at x = 5. 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.
$9x - 12 = 33$
2
Add 12 to both sides:
$9x - 12 + 12 = 33 + 12 \ \Rightarrow\ 9x = 45$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{45}{9} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$9\cdot5 - 12 = 45 - 12 = 33 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 12 = 33\ \Rightarrow\ x = 5 \]
\[ 9x - 12 = 33 \]
\[ 9x - 12 + 12 = 33 + 12 \ \Rightarrow\ 9x = 45 \]
\[ \frac{9x}{9} = \frac{45}{9} \ \Rightarrow\ x = 5 \]
\[ 9\cdot5 - 12 = 45 - 12 = 33 \checkmark \]

Trying values of x in 9x − 12 = 33

x	9x − 12	Equals 33?
3	15	no
4	24	no
5	33	yes
6	42	no
7	51	no

Questions

What is x in 9x − 12 = 33?

The solution of 9x − 12 = 33 is x = 5.

How do you solve 9x − 12 = 33?

Add 12 to both sides to get 9x = 45, then divide both sides by 9 to get x = 5.

How do I check the answer?

Replace x by 5: 9(5) − 12 = 33, which is 33.

Solve 9x − 12 = 33

How to work it out

Trying values of x in 9x − 12 = 33

Questions

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