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Solve 2x + 11 = 5

The solution of 2x + 11 = 5 is x = -3.

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The lines y = 2x + 11 and y = 5 meet at x = -3-8-6-4-22-551015x = -3y = 2x + 11y = 5
The lines y = 2x + 11 and y = 5 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. 1

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

    2x+11=52x + 11 = 5
  2. 2

    Subtract 11 from both sides:

    2x+11−11=5−11 ⇒ 2x=−62x + 11 - 11 = 5 - 11 \ \Rightarrow\ 2x = -6
  3. 3

    Divide both sides by 2:

    2x2=−62 ⇒ x=−3\frac{2x}{2} = \frac{-6}{2} \ \Rightarrow\ x = -3
  4. 4

    Check: put x = -3 back into the equation.

    2⋅(−3)+11=−6+11=5✓2\cdot(-3) + 11 = -6 + 11 = 5 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 11 = 5\ \Rightarrow\ x = -3 \]
\[ 2x + 11 = 5 \]
\[ 2x + 11 - 11 = 5 - 11 \ \Rightarrow\ 2x = -6 \]
\[ \frac{2x}{2} = \frac{-6}{2} \ \Rightarrow\ x = -3 \]
\[ 2\cdot(-3) + 11 = -6 + 11 = 5 \checkmark \]

Trying values of x in 2x + 11 = 5

x2x + 11Equals 5?
-51no
-43no
-35yes
-27no
-19no

Questions

What is x in 2x + 11 = 5?

The solution of 2x + 11 = 5 is x = -3.

How do you solve 2x + 11 = 5?

Subtract 11 from both sides to get 2x = -6, then divide both sides by 2 to get x = -3.

How do I check the answer?

Replace x by -3: 2(-3) + 11 = 5, which is 5.

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    Solve 2x + 11 = 5: x = -3 (steps and check) | WordGPT