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Question
3x-5>-2\left(x-10\right)
Solve the inequality
x>5
Alternative Form
x \in \left(5,+\infty\right)
Evaluate
3x-5>-2\left(x-10\right)
Expand the expression
More Steps
Evaluate
-2\left(x-10\right)
Apply the distributive property
-2x-\left(-2\times 10\right)
Multiply the numbers
-2x-\left(-20\right)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
-2x+20
3x-5>-2x+20
Move the expression to the left side
3x-5+2x>20
Move the expression to the right side
3x+2x>20+5
Add and subtract
More Steps
Evaluate
3x+2x
Collect like terms by calculating the sum or difference of their coefficients
\left(3+2\right)x
Add the numbers
5x
5x>20+5
Add and subtract
5x>25
Divide both sides
\frac{5x}{5}>\frac{25}{5}
Divide the numbers
x>\frac{25}{5}
Solution
More Steps
Evaluate
\frac{25}{5}
Reduce the numbers
\frac{5}{1}
Calculate
5
x>5
Alternative Form
x \in \left(5,+\infty\right)
Show Solutions
