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Solve 11x + 11 = 22

The solution of 11x + 11 = 22 is x = 1.

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The lines y = 11x + 11 and y = 22 meet at x = 1-4-2246-40-2020406080100x = 1y = 11x + 11y = 22
The lines y = 11x + 11 and y = 22 meet at x = 1. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    11x+11=2211x + 11 = 22
  2. 2

    Subtract 11 from both sides:

    11x+11−11=22−11 ⇒ 11x=1111x + 11 - 11 = 22 - 11 \ \Rightarrow\ 11x = 11
  3. 3

    Divide both sides by 11:

    11x11=1111 ⇒ x=1\frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    11⋅1+11=11+11=22✓11\cdot1 + 11 = 11 + 11 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 11 = 22\ \Rightarrow\ x = 1 \]
\[ 11x + 11 = 22 \]
\[ 11x + 11 - 11 = 22 - 11 \ \Rightarrow\ 11x = 11 \]
\[ \frac{11x}{11} = \frac{11}{11} \ \Rightarrow\ x = 1 \]
\[ 11\cdot1 + 11 = 11 + 11 = 22 \checkmark \]

Trying values of x in 11x + 11 = 22

x11x + 11Equals 22?
-10no
011no
122yes
233no
344no

Questions

What is x in 11x + 11 = 22?

The solution of 11x + 11 = 22 is x = 1.

How do you solve 11x + 11 = 22?

Subtract 11 from both sides to get 11x = 11, then divide both sides by 11 to get x = 1.

How do I check the answer?

Replace x by 1: 11(1) + 11 = 22, which is 22.

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    Solve 11x + 11 = 22: x = 1 (steps and check) | WordGPT