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Solve 2x + 6 = 20

The solution of 2x + 6 = 20 is x = 7.

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The lines y = 2x + 6 and y = 20 meet at x = 7246810121015202530x = 7y = 2x + 6y = 20
The lines y = 2x + 6 and y = 20 meet at x = 7. 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+6=202x + 6 = 20
  2. 2

    Subtract 6 from both sides:

    2x+6−6=20−6 ⇒ 2x=142x + 6 - 6 = 20 - 6 \ \Rightarrow\ 2x = 14
  3. 3

    Divide both sides by 2:

    2x2=142 ⇒ x=7\frac{2x}{2} = \frac{14}{2} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    2⋅7+6=14+6=20✓2\cdot7 + 6 = 14 + 6 = 20 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 6 = 20\ \Rightarrow\ x = 7 \]
\[ 2x + 6 = 20 \]
\[ 2x + 6 - 6 = 20 - 6 \ \Rightarrow\ 2x = 14 \]
\[ \frac{2x}{2} = \frac{14}{2} \ \Rightarrow\ x = 7 \]
\[ 2\cdot7 + 6 = 14 + 6 = 20 \checkmark \]

Trying values of x in 2x + 6 = 20

x2x + 6Equals 20?
516no
618no
720yes
822no
924no

Questions

What is x in 2x + 6 = 20?

The solution of 2x + 6 = 20 is x = 7.

How do you solve 2x + 6 = 20?

Subtract 6 from both sides to get 2x = 14, then divide both sides by 2 to get x = 7.

How do I check the answer?

Replace x by 7: 2(7) + 6 = 20, which is 20.

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