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Solve 2x + 11 = 13

The solution of 2x + 11 = 13 is x = 1.

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The lines y = 2x + 11 and y = 13 meet at x = 1-4-2246510152025x = 1y = 2x + 11y = 13
The lines y = 2x + 11 and y = 13 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=132x + 11 = 13
  2. 2

    Subtract 11 from both sides:

    2x+11−11=13−11 ⇒ 2x=22x + 11 - 11 = 13 - 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=13✓2\cdot1 + 11 = 2 + 11 = 13 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 11 = 13\ \Rightarrow\ x = 1 \]
\[ 2x + 11 = 13 \]
\[ 2x + 11 - 11 = 13 - 11 \ \Rightarrow\ 2x = 2 \]
\[ \frac{2x}{2} = \frac{2}{2} \ \Rightarrow\ x = 1 \]
\[ 2\cdot1 + 11 = 2 + 11 = 13 \checkmark \]

Trying values of x in 2x + 11 = 13

x2x + 11Equals 13?
-19no
011no
113yes
215no
317no

Questions

What is x in 2x + 11 = 13?

The solution of 2x + 11 = 13 is x = 1.

How do you solve 2x + 11 = 13?

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 = 13, which is 13.

Similar equations

    Solve 2x + 11 = 13: x = 1 (steps and check) | WordGPT