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Solve 6x + 2 = 20

The solution of 6x + 2 = 20 is x = 3.

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The lines y = 6x + 2 and y = 20 meet at x = 3-22468-20-10102030405060x = 3y = 6x + 2y = 20
The lines y = 6x + 2 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.

    6x+2=206x + 2 = 20
  2. 2

    Subtract 2 from both sides:

    6x+2−2=20−2 ⇒ 6x=186x + 2 - 2 = 20 - 2 \ \Rightarrow\ 6x = 18
  3. 3

    Divide both sides by 6:

    6x6=186 ⇒ x=3\frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    6⋅3+2=18+2=20✓6\cdot3 + 2 = 18 + 2 = 20 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 2 = 20\ \Rightarrow\ x = 3 \]
\[ 6x + 2 = 20 \]
\[ 6x + 2 - 2 = 20 - 2 \ \Rightarrow\ 6x = 18 \]
\[ \frac{6x}{6} = \frac{18}{6} \ \Rightarrow\ x = 3 \]
\[ 6\cdot3 + 2 = 18 + 2 = 20 \checkmark \]

Trying values of x in 6x + 2 = 20

x6x + 2Equals 20?
18no
214no
320yes
426no
532no

Questions

What is x in 6x + 2 = 20?

The solution of 6x + 2 = 20 is x = 3.

How do you solve 6x + 2 = 20?

Subtract 2 from both sides to get 6x = 18, then divide both sides by 6 to get x = 3.

How do I check the answer?

Replace x by 3: 6(3) + 2 = 20, which is 20.

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