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Solve 2x + 14 = 22

The solution of 2x + 14 = 22 is x = 4.

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The lines y = 2x + 14 and y = 22 meet at x = 4-2246810101520253035x = 4y = 2x + 14y = 22
The lines y = 2x + 14 and y = 22 meet at x = 4. 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+14=222x + 14 = 22
  2. 2

    Subtract 14 from both sides:

    2x+14−14=22−14 ⇒ 2x=82x + 14 - 14 = 22 - 14 \ \Rightarrow\ 2x = 8
  3. 3

    Divide both sides by 2:

    2x2=82 ⇒ x=4\frac{2x}{2} = \frac{8}{2} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    2⋅4+14=8+14=22✓2\cdot4 + 14 = 8 + 14 = 22 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 14 = 22\ \Rightarrow\ x = 4 \]
\[ 2x + 14 = 22 \]
\[ 2x + 14 - 14 = 22 - 14 \ \Rightarrow\ 2x = 8 \]
\[ \frac{2x}{2} = \frac{8}{2} \ \Rightarrow\ x = 4 \]
\[ 2\cdot4 + 14 = 8 + 14 = 22 \checkmark \]

Trying values of x in 2x + 14 = 22

x2x + 14Equals 22?
218no
320no
422yes
524no
626no

Questions

What is x in 2x + 14 = 22?

The solution of 2x + 14 = 22 is x = 4.

How do you solve 2x + 14 = 22?

Subtract 14 from both sides to get 2x = 8, then divide both sides by 2 to get x = 4.

How do I check the answer?

Replace x by 4: 2(4) + 14 = 22, which is 22.

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    Solve 2x + 14 = 22: x = 4 (steps and check) | WordGPT