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Solve 2x + 2 = 0

The solution of 2x + 2 = 0 is x = -1.

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The lines y = 2x + 2 and y = 0 meet at x = -1-6-4-224-10-5510x = -1y = 2x + 2y = 0
The lines y = 2x + 2 and y = 0 meet at x = -1. 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+2=02x + 2 = 0
  2. 2

    Subtract 2 from both sides:

    2x+2āˆ’2=0āˆ’2Ā ā‡’Ā 2x=āˆ’22x + 2 - 2 = 0 - 2 \ \Rightarrow\ 2x = -2
  3. 3

    Divide both sides by 2:

    2x2=āˆ’22Ā ā‡’Ā x=āˆ’1\frac{2x}{2} = \frac{-2}{2} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    2ā‹…(āˆ’1)+2=āˆ’2+2=0āœ“2\cdot(-1) + 2 = -2 + 2 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 2 = 0\ \Rightarrow\ x = -1 \]
\[ 2x + 2 = 0 \]
\[ 2x + 2 - 2 = 0 - 2 \ \Rightarrow\ 2x = -2 \]
\[ \frac{2x}{2} = \frac{-2}{2} \ \Rightarrow\ x = -1 \]
\[ 2\cdot(-1) + 2 = -2 + 2 = 0 \checkmark \]

Trying values of x in 2x + 2 = 0

x2x + 2Equals 0?
-3-4no
-2-2no
-10yes
02no
14no

Questions

What is x in 2x + 2 = 0?

The solution of 2x + 2 = 0 is x = -1.

How do you solve 2x + 2 = 0?

Subtract 2 from both sides to get 2x = -2, then divide both sides by 2 to get x = -1.

How do I check the answer?

Replace x by -1: 2(-1) + 2 = 0, which is 0.

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