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Solve 2x + 6 = 22

The solution of 2x + 6 = 22 is x = 8.

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The lines y = 2x + 6 and y = 22 meet at x = 82468101214101520253035x = 8y = 2x + 6y = 22
The lines y = 2x + 6 and y = 22 meet at x = 8. 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=222x + 6 = 22
  2. 2

    Subtract 6 from both sides:

    2x+6−6=22−6 ⇒ 2x=162x + 6 - 6 = 22 - 6 \ \Rightarrow\ 2x = 16
  3. 3

    Divide both sides by 2:

    2x2=162 ⇒ x=8\frac{2x}{2} = \frac{16}{2} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    2⋅8+6=16+6=22✓2\cdot8 + 6 = 16 + 6 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 6 = 22\ \Rightarrow\ x = 8 \]
\[ 2x + 6 = 22 \]
\[ 2x + 6 - 6 = 22 - 6 \ \Rightarrow\ 2x = 16 \]
\[ \frac{2x}{2} = \frac{16}{2} \ \Rightarrow\ x = 8 \]
\[ 2\cdot8 + 6 = 16 + 6 = 22 \checkmark \]

Trying values of x in 2x + 6 = 22

x2x + 6Equals 22?
618no
720no
822yes
924no
1026no

Questions

What is x in 2x + 6 = 22?

The solution of 2x + 6 = 22 is x = 8.

How do you solve 2x + 6 = 22?

Subtract 6 from both sides to get 2x = 16, then divide both sides by 2 to get x = 8.

How do I check the answer?

Replace x by 8: 2(8) + 6 = 22, which is 22.

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    Solve 2x + 6 = 22: x = 8 (steps and check) | WordGPT