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Solve 2x + 11 = 21

The solution of 2x + 11 = 21 is x = 5.

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The lines y = 2x + 11 and y = 21 meet at x = 5246810101520253035x = 5y = 2x + 11y = 21
The lines y = 2x + 11 and y = 21 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=212x + 11 = 21
  2. 2

    Subtract 11 from both sides:

    2x+11−11=21−11 ⇒ 2x=102x + 11 - 11 = 21 - 11 \ \Rightarrow\ 2x = 10
  3. 3

    Divide both sides by 2:

    2x2=102 ⇒ x=5\frac{2x}{2} = \frac{10}{2} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    2⋅5+11=10+11=21✓2\cdot5 + 11 = 10 + 11 = 21 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 11 = 21\ \Rightarrow\ x = 5 \]
\[ 2x + 11 = 21 \]
\[ 2x + 11 - 11 = 21 - 11 \ \Rightarrow\ 2x = 10 \]
\[ \frac{2x}{2} = \frac{10}{2} \ \Rightarrow\ x = 5 \]
\[ 2\cdot5 + 11 = 10 + 11 = 21 \checkmark \]

Trying values of x in 2x + 11 = 21

x2x + 11Equals 21?
317no
419no
521yes
623no
725no

Questions

What is x in 2x + 11 = 21?

The solution of 2x + 11 = 21 is x = 5.

How do you solve 2x + 11 = 21?

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 = 21, which is 21.

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    Solve 2x + 11 = 21: x = 5 (steps and check) | WordGPT