3x - 5 > -2(x - 10)
Question
3x-5>-2\left(x-10\right)
Solve the inequality
\text{Solve for }x
x>5
Alternative Form
x \in \left(5,+\infty\right)
Evaluate
3x-5>-2\left(x-10\right)
Multiply the terms
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Evaluate
-2\left(x-10\right)
Apply the distributive property
-2x-\left(-2\times 10\right)
Multiply the terms
-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 variable to the left side
3x-5+2x>20
Add the terms
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Evaluate
3x+2x
Collect like terms
\left(3+2\right)\times x
Add the coefficients
5x
5x-5>20
Move the constant to the right side
5x>20+5
Add the terms
5x>25
Divide both sides
\frac{5x}{5}>\frac{25}{5}
Simplify
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Evaluate
\frac{25}{5}
Rewrite the expression
\frac{5\times 5}{5}
Reduce the fraction
5
\frac{5x}{5}>5
Solution
x>5
Alternative Form
x \in \left(5,+\infty\right)