5 + 5x > 8(x-1) is equivalent to -3x > -13.
Let, the expression be 5 + 5x > 8(x-1)
By applying Multiplicative Distribution Law, we get
5 + 5x > 8x - 8
Rearrange unknown terms to the left side of the equation, then
5x - 8x > -8 - 5
Combine like terms, we get
-3x > -8 - 5
Calculate the sum or difference
-3x > -13
Divide both sides of the inequality by the coefficient of the variable, then we get
[tex]$x < \frac{-13}{-3}$[/tex]
Determine the sign for multiplication or division:
[tex]$x < \frac{13}{3}$[/tex]
Therefore, the correct answer is -3x > -13.
Complete question:
Which of the following is equivalent to 5 + 5x > 8(x - 1)?
-3x > -12
3x < 13
3x < 6
-4x > -12
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