Question
Solve the inequality
x>−1011
Alternative Form
x∈(−1011,+∞)
Evaluate
−16(−1−3x)>−39−2x
Expand the expression
More Steps

Evaluate
−16(−1−3x)
Apply the distributive property
−16(−1)−(−16×3x)
Simplify
16−(−16×3x)
Multiply the numbers
16−(−48x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
16+48x
16+48x>−39−2x
Move the expression to the left side
16+48x+2x>−39
Move the expression to the right side
48x+2x>−39−16
Add and subtract
More Steps

Evaluate
48x+2x
Collect like terms by calculating the sum or difference of their coefficients
(48+2)x
Add the numbers
50x
50x>−39−16
Add and subtract
50x>−55
Divide both sides
5050x>50−55
Divide the numbers
x>50−55
Solution
More Steps

Evaluate
50−55
Cancel out the common factor 5
10−11
Use b−a=−ba=−ba to rewrite the fraction
−1011
x>−1011
Alternative Form
x∈(−1011,+∞)
Show Solution
