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Solve 10x + 10 = 0

The solution of 10x + 10 = 0 is x = -1.

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The lines y = 10x + 10 and y = 0 meet at x = -1-6-4-224-60-40-20204060x = -1y = 10x + 10y = 0
The lines y = 10x + 10 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.

    10x+10=010x + 10 = 0
  2. 2

    Subtract 10 from both sides:

    10x+10āˆ’10=0āˆ’10Ā ā‡’Ā 10x=āˆ’1010x + 10 - 10 = 0 - 10 \ \Rightarrow\ 10x = -10
  3. 3

    Divide both sides by 10:

    10x10=āˆ’1010Ā ā‡’Ā x=āˆ’1\frac{10x}{10} = \frac{-10}{10} \ \Rightarrow\ x = -1
  4. 4

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

    10ā‹…(āˆ’1)+10=āˆ’10+10=0āœ“10\cdot(-1) + 10 = -10 + 10 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 10 = 0\ \Rightarrow\ x = -1 \]
\[ 10x + 10 = 0 \]
\[ 10x + 10 - 10 = 0 - 10 \ \Rightarrow\ 10x = -10 \]
\[ \frac{10x}{10} = \frac{-10}{10} \ \Rightarrow\ x = -1 \]
\[ 10\cdot(-1) + 10 = -10 + 10 = 0 \checkmark \]

Trying values of x in 10x + 10 = 0

x10x + 10Equals 0?
-3-20no
-2-10no
-10yes
010no
120no

Questions

What is x in 10x + 10 = 0?

The solution of 10x + 10 = 0 is x = -1.

How do you solve 10x + 10 = 0?

Subtract 10 from both sides to get 10x = -10, then divide both sides by 10 to get x = -1.

How do I check the answer?

Replace x by -1: 10(-1) + 10 = 0, which is 0.

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