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Solve 5x + 11 = 1

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

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The lines y = 5x + 11 and y = 1 meet at x = -2-8-6-4-224-30-20-10102030x = -2y = 5x + 11y = 1
The lines y = 5x + 11 and y = 1 meet at x = -2. 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.

    5x+11=15x + 11 = 1
  2. 2

    Subtract 11 from both sides:

    5x+11āˆ’11=1āˆ’11Ā ā‡’Ā 5x=āˆ’105x + 11 - 11 = 1 - 11 \ \Rightarrow\ 5x = -10
  3. 3

    Divide both sides by 5:

    5x5=āˆ’105Ā ā‡’Ā x=āˆ’2\frac{5x}{5} = \frac{-10}{5} \ \Rightarrow\ x = -2
  4. 4

    Check: put x = -2 back into the equation.

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

Trying values of x in 5x + 11 = 1

x5x + 11Equals 1?
-4-9no
-3-4no
-21yes
-16no
011no

Questions

What is x in 5x + 11 = 1?

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

How do you solve 5x + 11 = 1?

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

How do I check the answer?

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

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