Question
Solve the inequality
x>−3
Alternative Form
x∈(−3,+∞)
Evaluate
122x−5>4−x−35
Use b−a=−ba=−ba to rewrite the fraction
122x−5>−4x−35
Multiply both sides of the inequality by 12
122x−5×12>(−4x−35)×12
Multiply the terms
2x−5>(−4x−35)×12
Multiply the terms
More Steps

Multiply the terms
(−4x−35)×12
Apply the distributive property
−4x×12−35×12
Reduce the fraction
−x×3−5×4
Multiply the terms
−3x−20
2x−5>−3x−20
Move the expression to the left side
2x−5+3x>−20
Move the expression to the right side
2x+3x>−20+5
Add and subtract
More Steps

Evaluate
2x+3x
Collect like terms by calculating the sum or difference of their coefficients
(2+3)x
Add the numbers
5x
5x>−20+5
Add and subtract
5x>−15
Divide both sides
55x>5−15
Divide the numbers
x>5−15
Solution
More Steps

Evaluate
5−15
Reduce the numbers
1−3
Calculate
−3
x>−3
Alternative Form
x∈(−3,+∞)
Show Solution
