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Solve 2x + 14 = 20

The solution of 2x + 14 = 20 is x = 3.

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The lines y = 2x + 14 and y = 20 meet at x = 3-224681015202530x = 3y = 2x + 14y = 20
The lines y = 2x + 14 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.

    2x+14=202x + 14 = 20
  2. 2

    Subtract 14 from both sides:

    2x+14−14=20−14 ⇒ 2x=62x + 14 - 14 = 20 - 14 \ \Rightarrow\ 2x = 6
  3. 3

    Divide both sides by 2:

    2x2=62 ⇒ x=3\frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    2⋅3+14=6+14=20✓2\cdot3 + 14 = 6 + 14 = 20 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 14 = 20\ \Rightarrow\ x = 3 \]
\[ 2x + 14 = 20 \]
\[ 2x + 14 - 14 = 20 - 14 \ \Rightarrow\ 2x = 6 \]
\[ \frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3 \]
\[ 2\cdot3 + 14 = 6 + 14 = 20 \checkmark \]

Trying values of x in 2x + 14 = 20

x2x + 14Equals 20?
116no
218no
320yes
422no
524no

Questions

What is x in 2x + 14 = 20?

The solution of 2x + 14 = 20 is x = 3.

How do you solve 2x + 14 = 20?

Subtract 14 from both sides to get 2x = 6, then divide both sides by 2 to get x = 3.

How do I check the answer?

Replace x by 3: 2(3) + 14 = 20, which is 20.

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