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Solve 2x + 8 = 22

The solution of 2x + 8 = 22 is x = 7.

The lines y = 2x + 8 and y = 22 meet at x = 724681012101520253035x = 7y = 2x + 8y = 22
The lines y = 2x + 8 and y = 22 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+8=222x + 8 = 22
  2. 2

    Subtract 8 from both sides:

    2x+8−8=22−8 ⇒ 2x=142x + 8 - 8 = 22 - 8 \ \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+8=14+8=22✓2\cdot7 + 8 = 14 + 8 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 8 = 22\ \Rightarrow\ x = 7 \]
\[ 2x + 8 = 22 \]
\[ 2x + 8 - 8 = 22 - 8 \ \Rightarrow\ 2x = 14 \]
\[ \frac{2x}{2} = \frac{14}{2} \ \Rightarrow\ x = 7 \]
\[ 2\cdot7 + 8 = 14 + 8 = 22 \checkmark \]

Trying values of x in 2x + 8 = 22

x2x + 8Equals 22?
518no
620no
722yes
824no
926no

Questions

What is x in 2x + 8 = 22?

The solution of 2x + 8 = 22 is x = 7.

How do you solve 2x + 8 = 22?

Subtract 8 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) + 8 = 22, which is 22.

Similar equations

    Solve 2x + 8 = 22: x = 7 (steps and check) | WordGPT