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Solve 5x + 11 = 21

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

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The lines y = 5x + 11 and y = 21 meet at x = 2-4-22468-101020304050x = 2y = 5x + 11y = 21
The lines y = 5x + 11 and y = 21 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=215x + 11 = 21
  2. 2

    Subtract 11 from both sides:

    5x+11−11=21−11 ⇒ 5x=105x + 11 - 11 = 21 - 11 \ \Rightarrow\ 5x = 10
  3. 3

    Divide both sides by 5:

    5x5=105 ⇒ x=2\frac{5x}{5} = \frac{10}{5} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    5⋅2+11=10+11=21✓5\cdot2 + 11 = 10 + 11 = 21 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 11 = 21\ \Rightarrow\ x = 2 \]
\[ 5x + 11 = 21 \]
\[ 5x + 11 - 11 = 21 - 11 \ \Rightarrow\ 5x = 10 \]
\[ \frac{5x}{5} = \frac{10}{5} \ \Rightarrow\ x = 2 \]
\[ 5\cdot2 + 11 = 10 + 11 = 21 \checkmark \]

Trying values of x in 5x + 11 = 21

x5x + 11Equals 21?
011no
116no
221yes
326no
431no

Questions

What is x in 5x + 11 = 21?

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

How do you solve 5x + 11 = 21?

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 = 21, which is 21.

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