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Solve 2x + 2 = 20

The solution of 2x + 2 = 20 is x = 9.

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The lines y = 2x + 2 and y = 20 meet at x = 94681012141015202530x = 9y = 2x + 2y = 20
The lines y = 2x + 2 and y = 20 meet at x = 9. 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+2=202x + 2 = 20
  2. 2

    Subtract 2 from both sides:

    2x+2−2=20−2 ⇒ 2x=182x + 2 - 2 = 20 - 2 \ \Rightarrow\ 2x = 18
  3. 3

    Divide both sides by 2:

    2x2=182 ⇒ x=9\frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    2⋅9+2=18+2=20✓2\cdot9 + 2 = 18 + 2 = 20 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 2 = 20\ \Rightarrow\ x = 9 \]
\[ 2x + 2 = 20 \]
\[ 2x + 2 - 2 = 20 - 2 \ \Rightarrow\ 2x = 18 \]
\[ \frac{2x}{2} = \frac{18}{2} \ \Rightarrow\ x = 9 \]
\[ 2\cdot9 + 2 = 18 + 2 = 20 \checkmark \]

Trying values of x in 2x + 2 = 20

x2x + 2Equals 20?
716no
818no
920yes
1022no
1124no

Questions

What is x in 2x + 2 = 20?

The solution of 2x + 2 = 20 is x = 9.

How do you solve 2x + 2 = 20?

Subtract 2 from both sides to get 2x = 18, then divide both sides by 2 to get x = 9.

How do I check the answer?

Replace x by 9: 2(9) + 2 = 20, which is 20.

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