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Solve 2x + 11 = 9

The solution of 2x + 11 = 9 is x = -1.

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The lines y = 2x + 11 and y = 9 meet at x = -1-6-4-224-55101520x = -1y = 2x + 11y = 9
The lines y = 2x + 11 and y = 9 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.

    2x+11=92x + 11 = 9
  2. 2

    Subtract 11 from both sides:

    2x+11−11=9−11 ⇒ 2x=−22x + 11 - 11 = 9 - 11 \ \Rightarrow\ 2x = -2
  3. 3

    Divide both sides by 2:

    2x2=−22 ⇒ x=−1\frac{2x}{2} = \frac{-2}{2} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    2⋅(−1)+11=−2+11=9✓2\cdot(-1) + 11 = -2 + 11 = 9 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 11 = 9\ \Rightarrow\ x = -1 \]
\[ 2x + 11 = 9 \]
\[ 2x + 11 - 11 = 9 - 11 \ \Rightarrow\ 2x = -2 \]
\[ \frac{2x}{2} = \frac{-2}{2} \ \Rightarrow\ x = -1 \]
\[ 2\cdot(-1) + 11 = -2 + 11 = 9 \checkmark \]

Trying values of x in 2x + 11 = 9

x2x + 11Equals 9?
-35no
-27no
-19yes
011no
113no

Questions

What is x in 2x + 11 = 9?

The solution of 2x + 11 = 9 is x = -1.

How do you solve 2x + 11 = 9?

Subtract 11 from both sides to get 2x = -2, then divide both sides by 2 to get x = -1.

How do I check the answer?

Replace x by -1: 2(-1) + 11 = 9, which is 9.

Similar equations

    Solve 2x + 11 = 9: x = -1 (steps and check) | WordGPT