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Solve 2x + 14 = 0

The solution of 2x + 14 = 0 is x = -7.

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The lines y = 2x + 14 and y = 0 meet at x = -7-12-10-8-6-4-2-10-5510x = -7y = 2x + 14y = 0
The lines y = 2x + 14 and y = 0 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+14=02x + 14 = 0
  2. 2

    Subtract 14 from both sides:

    2x+14āˆ’14=0āˆ’14Ā ā‡’Ā 2x=āˆ’142x + 14 - 14 = 0 - 14 \ \Rightarrow\ 2x = -14
  3. 3

    Divide both sides by 2:

    2x2=āˆ’142Ā ā‡’Ā x=āˆ’7\frac{2x}{2} = \frac{-14}{2} \ \Rightarrow\ x = -7
  4. 4

    Check: put x = -7 back into the equation.

    2ā‹…(āˆ’7)+14=āˆ’14+14=0āœ“2\cdot(-7) + 14 = -14 + 14 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 14 = 0\ \Rightarrow\ x = -7 \]
\[ 2x + 14 = 0 \]
\[ 2x + 14 - 14 = 0 - 14 \ \Rightarrow\ 2x = -14 \]
\[ \frac{2x}{2} = \frac{-14}{2} \ \Rightarrow\ x = -7 \]
\[ 2\cdot(-7) + 14 = -14 + 14 = 0 \checkmark \]

Trying values of x in 2x + 14 = 0

x2x + 14Equals 0?
-9-4no
-8-2no
-70yes
-62no
-54no

Questions

What is x in 2x + 14 = 0?

The solution of 2x + 14 = 0 is x = -7.

How do you solve 2x + 14 = 0?

Subtract 14 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) + 14 = 0, which is 0.

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    Solve 2x + 14 = 0: x = -7 (steps and check) | WordGPT