Solve 3x − 2 = 31

The solution of 3x − 2 = 31 is x = 11.

3x - 2 = 31\ \Rightarrow\ x = 11

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

The lines y = 3x − 2 and y = 31 meet at x = 11. 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.
$3x - 2 = 31$
2
Add 2 to both sides:
$3x - 2 + 2 = 31 + 2 \ \Rightarrow\ 3x = 33$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{33}{3} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$3\cdot11 - 2 = 33 - 2 = 31 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 2 = 31\ \Rightarrow\ x = 11 \]
\[ 3x - 2 = 31 \]
\[ 3x - 2 + 2 = 31 + 2 \ \Rightarrow\ 3x = 33 \]
\[ \frac{3x}{3} = \frac{33}{3} \ \Rightarrow\ x = 11 \]
\[ 3\cdot11 - 2 = 33 - 2 = 31 \checkmark \]

Trying values of x in 3x − 2 = 31

x	3x − 2	Equals 31?
9	25	no
10	28	no
11	31	yes
12	34	no
13	37	no

Questions

What is x in 3x − 2 = 31?

The solution of 3x − 2 = 31 is x = 11.

How do you solve 3x − 2 = 31?

Add 2 to both sides to get 3x = 33, then divide both sides by 3 to get x = 11.

How do I check the answer?

Replace x by 11: 3(11) − 2 = 31, which is 31.

Solve 3x − 2 = 31

How to work it out

Trying values of x in 3x − 2 = 31

Questions

Similar equations