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Solve 5x + 5 = 0

The solution of 5x + 5 = 0 is x = -1.

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The lines y = 5x + 5 and y = 0 meet at x = -1-6-4-224-30-20-10102030x = -1y = 5x + 5y = 0
The lines y = 5x + 5 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.

    5x+5=05x + 5 = 0
  2. 2

    Subtract 5 from both sides:

    5x+5āˆ’5=0āˆ’5Ā ā‡’Ā 5x=āˆ’55x + 5 - 5 = 0 - 5 \ \Rightarrow\ 5x = -5
  3. 3

    Divide both sides by 5:

    5x5=āˆ’55Ā ā‡’Ā x=āˆ’1\frac{5x}{5} = \frac{-5}{5} \ \Rightarrow\ x = -1
  4. 4

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

    5ā‹…(āˆ’1)+5=āˆ’5+5=0āœ“5\cdot(-1) + 5 = -5 + 5 = 0 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 5 = 0\ \Rightarrow\ x = -1 \]
\[ 5x + 5 = 0 \]
\[ 5x + 5 - 5 = 0 - 5 \ \Rightarrow\ 5x = -5 \]
\[ \frac{5x}{5} = \frac{-5}{5} \ \Rightarrow\ x = -1 \]
\[ 5\cdot(-1) + 5 = -5 + 5 = 0 \checkmark \]

Trying values of x in 5x + 5 = 0

x5x + 5Equals 0?
-3-10no
-2-5no
-10yes
05no
110no

Questions

What is x in 5x + 5 = 0?

The solution of 5x + 5 = 0 is x = -1.

How do you solve 5x + 5 = 0?

Subtract 5 from both sides to get 5x = -5, then divide both sides by 5 to get x = -1.

How do I check the answer?

Replace x by -1: 5(-1) + 5 = 0, which is 0.

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