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Solve 2x + 11 = 1

The solution of 2x + 11 = 1 is x = -5.

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The lines y = 2x + 11 and y = 1 meet at x = -5-10-8-6-4-2-10-551015x = -5y = 2x + 11y = 1
The lines y = 2x + 11 and y = 1 meet at x = -5. 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.

    2x+11=12x + 11 = 1
  2. 2

    Subtract 11 from both sides:

    2x+11āˆ’11=1āˆ’11Ā ā‡’Ā 2x=āˆ’102x + 11 - 11 = 1 - 11 \ \Rightarrow\ 2x = -10
  3. 3

    Divide both sides by 2:

    2x2=āˆ’102Ā ā‡’Ā x=āˆ’5\frac{2x}{2} = \frac{-10}{2} \ \Rightarrow\ x = -5
  4. 4

    Check: put x = -5 back into the equation.

    2ā‹…(āˆ’5)+11=āˆ’10+11=1āœ“2\cdot(-5) + 11 = -10 + 11 = 1 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 11 = 1\ \Rightarrow\ x = -5 \]
\[ 2x + 11 = 1 \]
\[ 2x + 11 - 11 = 1 - 11 \ \Rightarrow\ 2x = -10 \]
\[ \frac{2x}{2} = \frac{-10}{2} \ \Rightarrow\ x = -5 \]
\[ 2\cdot(-5) + 11 = -10 + 11 = 1 \checkmark \]

Trying values of x in 2x + 11 = 1

x2x + 11Equals 1?
-7-3no
-6-1no
-51yes
-43no
-35no

Questions

What is x in 2x + 11 = 1?

The solution of 2x + 11 = 1 is x = -5.

How do you solve 2x + 11 = 1?

Subtract 11 from both sides to get 2x = -10, then divide both sides by 2 to get x = -5.

How do I check the answer?

Replace x by -5: 2(-5) + 11 = 1, which is 1.

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