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Solve 7x + 14 = 0

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

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The lines y = 7x + 14 and y = 0 meet at x = -2-8-6-4-224-40-202040x = -2y = 7x + 14y = 0
The lines y = 7x + 14 and y = 0 meet at x = -2. 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.

    7x+14=07x + 14 = 0
  2. 2

    Subtract 14 from both sides:

    7x+14āˆ’14=0āˆ’14Ā ā‡’Ā 7x=āˆ’147x + 14 - 14 = 0 - 14 \ \Rightarrow\ 7x = -14
  3. 3

    Divide both sides by 7:

    7x7=āˆ’147Ā ā‡’Ā x=āˆ’2\frac{7x}{7} = \frac{-14}{7} \ \Rightarrow\ x = -2
  4. 4

    Check: put x = -2 back into the equation.

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

Trying values of x in 7x + 14 = 0

x7x + 14Equals 0?
-4-14no
-3-7no
-20yes
-17no
014no

Questions

What is x in 7x + 14 = 0?

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

How do you solve 7x + 14 = 0?

Subtract 14 from both sides to get 7x = -14, then divide both sides by 7 to get x = -2.

How do I check the answer?

Replace x by -2: 7(-2) + 14 = 0, which is 0.

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