Question
Solve the inequality
x≤2539
Alternative Form
x∈(−∞,2539]
Evaluate
2x−53−3x≤2
Multiply both sides of the inequality by 5×3
(2x−53−3x)×5×3≤2×5×3
Multiply the terms
More Steps

Multiply the terms
(2x−53−3x)×5×3
Apply the distributive property
2x×5×3−53×5×3−3x×5×3
Reduce the fraction
2x×15−3×3−x×5
Multiply the terms
30x−9−5x
30x−9−5x≤2×5×3
Multiply the terms
More Steps

Multiply the terms
2×5×3
Reduce the fraction
2×15
Multiply the terms
30
30x−9−5x≤30
Simplify
More Steps

Evaluate
30x−5x
Collect like terms by calculating the sum or difference of their coefficients
(30−5)x
Subtract the numbers
25x
25x−9≤30
Move the constant to the right side
25x≤30+9
Add the numbers
25x≤39
Divide both sides
2525x≤2539
Solution
x≤2539
Alternative Form
x∈(−∞,2539]
Show Solution
