Solve 3x − 11 = 22

The solution of 3x − 11 = 22 is x = 11.

3x - 11 = 22\ \Rightarrow\ x = 11

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The lines y = 3x − 11 and y = 22 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.
$3x - 11 = 22$
2
Add 11 to both sides:
$3x - 11 + 11 = 22 + 11 \ \Rightarrow\ 3x = 33$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{33}{3} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$3\cdot11 - 11 = 33 - 11 = 22 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 11 = 22\ \Rightarrow\ x = 11 \]
\[ 3x - 11 = 22 \]
\[ 3x - 11 + 11 = 22 + 11 \ \Rightarrow\ 3x = 33 \]
\[ \frac{3x}{3} = \frac{33}{3} \ \Rightarrow\ x = 11 \]
\[ 3\cdot11 - 11 = 33 - 11 = 22 \checkmark \]

Trying values of x in 3x − 11 = 22

x	3x − 11	Equals 22?
9	16	no
10	19	no
11	22	yes
12	25	no
13	28	no

Questions

What is x in 3x − 11 = 22?

The solution of 3x − 11 = 22 is x = 11.

How do you solve 3x − 11 = 22?

Add 11 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) − 11 = 22, which is 22.

Solve 3x − 11 = 22

How to work it out

Trying values of x in 3x − 11 = 22

Questions

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