Solve 11x − 11 = 33

The solution of 11x − 11 = 33 is x = 4.

11x - 11 = 33\ \Rightarrow\ x = 4

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The lines y = 11x − 11 and y = 33 meet at x = 4. 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.
$11x - 11 = 33$
2
Add 11 to both sides:
$11x - 11 + 11 = 33 + 11 \ \Rightarrow\ 11x = 44$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$11\cdot4 - 11 = 44 - 11 = 33 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 11 = 33\ \Rightarrow\ x = 4 \]
\[ 11x - 11 = 33 \]
\[ 11x - 11 + 11 = 33 + 11 \ \Rightarrow\ 11x = 44 \]
\[ \frac{11x}{11} = \frac{44}{11} \ \Rightarrow\ x = 4 \]
\[ 11\cdot4 - 11 = 44 - 11 = 33 \checkmark \]

Trying values of x in 11x − 11 = 33

x	11x − 11	Equals 33?
2	11	no
3	22	no
4	33	yes
5	44	no
6	55	no

Questions

What is x in 11x − 11 = 33?

The solution of 11x − 11 = 33 is x = 4.

How do you solve 11x − 11 = 33?

Add 11 to both sides to get 11x = 44, then divide both sides by 11 to get x = 4.

How do I check the answer?

Replace x by 4: 11(4) − 11 = 33, which is 33.

Solve 11x − 11 = 33

How to work it out

Trying values of x in 11x − 11 = 33

Questions

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