Solve 3x − 3 = 33

The solution of 3x − 3 = 33 is x = 12.

3x - 3 = 33\ \Rightarrow\ x = 12

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The lines y = 3x − 3 and y = 33 meet at x = 12. 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.
$3x - 3 = 33$
2
Add 3 to both sides:
$3x - 3 + 3 = 33 + 3 \ \Rightarrow\ 3x = 36$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$3\cdot12 - 3 = 36 - 3 = 33 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 3 = 33\ \Rightarrow\ x = 12 \]
\[ 3x - 3 = 33 \]
\[ 3x - 3 + 3 = 33 + 3 \ \Rightarrow\ 3x = 36 \]
\[ \frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12 \]
\[ 3\cdot12 - 3 = 36 - 3 = 33 \checkmark \]

Trying values of x in 3x − 3 = 33

x	3x − 3	Equals 33?
10	27	no
11	30	no
12	33	yes
13	36	no
14	39	no

Questions

What is x in 3x − 3 = 33?

The solution of 3x − 3 = 33 is x = 12.

How do you solve 3x − 3 = 33?

Add 3 to both sides to get 3x = 36, then divide both sides by 3 to get x = 12.

How do I check the answer?

Replace x by 12: 3(12) − 3 = 33, which is 33.

Solve 3x − 3 = 33

How to work it out

Trying values of x in 3x − 3 = 33

Questions

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