Solve 3x − 3 = 24

The solution of 3x − 3 = 24 is x = 9.

3x - 3 = 24\ \Rightarrow\ x = 9

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

The lines y = 3x − 3 and y = 24 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.
$3x - 3 = 24$
2
Add 3 to both sides:
$3x - 3 + 3 = 24 + 3 \ \Rightarrow\ 3x = 27$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{27}{3} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$3\cdot9 - 3 = 27 - 3 = 24 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 3 = 24\ \Rightarrow\ x = 9 \]
\[ 3x - 3 = 24 \]
\[ 3x - 3 + 3 = 24 + 3 \ \Rightarrow\ 3x = 27 \]
\[ \frac{3x}{3} = \frac{27}{3} \ \Rightarrow\ x = 9 \]
\[ 3\cdot9 - 3 = 27 - 3 = 24 \checkmark \]

Trying values of x in 3x − 3 = 24

x	3x − 3	Equals 24?
7	18	no
8	21	no
9	24	yes
10	27	no
11	30	no

Questions

What is x in 3x − 3 = 24?

The solution of 3x − 3 = 24 is x = 9.

How do you solve 3x − 3 = 24?

Add 3 to both sides to get 3x = 27, then divide both sides by 3 to get x = 9.

How do I check the answer?

Replace x by 9: 3(9) − 3 = 24, which is 24.

Solve 3x − 3 = 24

How to work it out

Trying values of x in 3x − 3 = 24

Questions

Similar equations