Solve 3x − 6 = 33

The solution of 3x − 6 = 33 is x = 13.

3x - 6 = 33\ \Rightarrow\ x = 13

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The lines y = 3x − 6 and y = 33 meet at x = 13. 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.
$3x - 6 = 33$
2
Add 6 to both sides:
$3x - 6 + 6 = 33 + 6 \ \Rightarrow\ 3x = 39$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{39}{3} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$3\cdot13 - 6 = 39 - 6 = 33 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 6 = 33\ \Rightarrow\ x = 13 \]
\[ 3x - 6 = 33 \]
\[ 3x - 6 + 6 = 33 + 6 \ \Rightarrow\ 3x = 39 \]
\[ \frac{3x}{3} = \frac{39}{3} \ \Rightarrow\ x = 13 \]
\[ 3\cdot13 - 6 = 39 - 6 = 33 \checkmark \]

Trying values of x in 3x − 6 = 33

x	3x − 6	Equals 33?
11	27	no
12	30	no
13	33	yes
14	36	no
15	39	no

Questions

What is x in 3x − 6 = 33?

The solution of 3x − 6 = 33 is x = 13.

How do you solve 3x − 6 = 33?

Add 6 to both sides to get 3x = 39, then divide both sides by 3 to get x = 13.

How do I check the answer?

Replace x by 13: 3(13) − 6 = 33, which is 33.

Solve 3x − 6 = 33

How to work it out

Trying values of x in 3x − 6 = 33

Questions

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