Solve 9x − 12 = 24

The solution of 9x − 12 = 24 is x = 4.

9x - 12 = 24\ \Rightarrow\ x = 4

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The lines y = 9x − 12 and y = 24 meet at x = 4. 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.
$9x - 12 = 24$
2
Add 12 to both sides:
$9x - 12 + 12 = 24 + 12 \ \Rightarrow\ 9x = 36$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{36}{9} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$9\cdot4 - 12 = 36 - 12 = 24 \checkmark$

LaTeX source of the formulas on this page

\[ 9x - 12 = 24\ \Rightarrow\ x = 4 \]
\[ 9x - 12 = 24 \]
\[ 9x - 12 + 12 = 24 + 12 \ \Rightarrow\ 9x = 36 \]
\[ \frac{9x}{9} = \frac{36}{9} \ \Rightarrow\ x = 4 \]
\[ 9\cdot4 - 12 = 36 - 12 = 24 \checkmark \]

Trying values of x in 9x − 12 = 24

x	9x − 12	Equals 24?
2	6	no
3	15	no
4	24	yes
5	33	no
6	42	no

Questions

What is x in 9x − 12 = 24?

The solution of 9x − 12 = 24 is x = 4.

How do you solve 9x − 12 = 24?

Add 12 to both sides to get 9x = 36, then divide both sides by 9 to get x = 4.

How do I check the answer?

Replace x by 4: 9(4) − 12 = 24, which is 24.

Solve 9x − 12 = 24

How to work it out

Trying values of x in 9x − 12 = 24

Questions

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