Solve 11x − 2 = 31

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

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

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The lines y = 11x − 2 and y = 31 meet at x = 3. 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.
$11x - 2 = 31$
2
Add 2 to both sides:
$11x - 2 + 2 = 31 + 2 \ \Rightarrow\ 11x = 33$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{33}{11} \ \Rightarrow\ x = 3$
4
Check: put x = 3 back into the equation.
$11\cdot3 - 2 = 33 - 2 = 31 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 2 = 31\ \Rightarrow\ x = 3 \]
\[ 11x - 2 = 31 \]
\[ 11x - 2 + 2 = 31 + 2 \ \Rightarrow\ 11x = 33 \]
\[ \frac{11x}{11} = \frac{33}{11} \ \Rightarrow\ x = 3 \]
\[ 11\cdot3 - 2 = 33 - 2 = 31 \checkmark \]

Trying values of x in 11x − 2 = 31

x	11x − 2	Equals 31?
1	9	no
2	20	no
3	31	yes
4	42	no
5	53	no

Questions

What is x in 11x − 2 = 31?

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

How do you solve 11x − 2 = 31?

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

How do I check the answer?

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

Solve 11x − 2 = 31

How to work it out

Trying values of x in 11x − 2 = 31

Questions

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