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Solve 3x + 11 = 20

The solution of 3x + 11 = 20 is x = 3.

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The lines y = 3x + 11 and y = 20 meet at x = 3-22468510152025303540x = 3y = 3x + 11y = 20
The lines y = 3x + 11 and y = 20 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.

    3x+11=203x + 11 = 20
  2. 2

    Subtract 11 from both sides:

    3x+11−11=20−11 ⇒ 3x=93x + 11 - 11 = 20 - 11 \ \Rightarrow\ 3x = 9
  3. 3

    Divide both sides by 3:

    3x3=93 ⇒ x=3\frac{3x}{3} = \frac{9}{3} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    3⋅3+11=9+11=20✓3\cdot3 + 11 = 9 + 11 = 20 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 11 = 20\ \Rightarrow\ x = 3 \]
\[ 3x + 11 = 20 \]
\[ 3x + 11 - 11 = 20 - 11 \ \Rightarrow\ 3x = 9 \]
\[ \frac{3x}{3} = \frac{9}{3} \ \Rightarrow\ x = 3 \]
\[ 3\cdot3 + 11 = 9 + 11 = 20 \checkmark \]

Trying values of x in 3x + 11 = 20

x3x + 11Equals 20?
114no
217no
320yes
423no
526no

Questions

What is x in 3x + 11 = 20?

The solution of 3x + 11 = 20 is x = 3.

How do you solve 3x + 11 = 20?

Subtract 11 from both sides to get 3x = 9, then divide both sides by 3 to get x = 3.

How do I check the answer?

Replace x by 3: 3(3) + 11 = 20, which is 20.

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    Solve 3x + 11 = 20: x = 3 (steps and check) | WordGPT