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3x - 5 > -2(x - 10)

Algebra Calculus Trigonometry Matrix

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 Hide 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 variable to the left side

3x-5+2x>20

Add the terms

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Calculate

3x+2x

Collect like terms by calculating the sum or difference of their coefficients

\left(3+2\right)x

Add the numbers

5x-5>20

Move the constant to the right side

5x>20+5

Add the terms

5x>25

Multiply both sides

5x\times \frac{1}{5}>25\times \frac{1}{5}

Reduce the numbers

5x\times \frac{1}{5}>5

Solution

x>5

Alternative Form

x \in \left(5,+\infty\right)

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