Solve -2x-5(2x+5)=-85

Question

Solve the equation

x = 5

Evaluate

- 2 x - 5 (2 x + 5) = - 85

Move the expression to the left side

- 2 x - 5 (2 x + 5) - (- 85) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 2 x - 5 (2 x + 5) + 85 = 0

Calculate the sum or difference

More Steps

Evaluate

- 2 x - 5 (2 x + 5) + 85

Expand the expression

More Steps

Calculate

- 5 (2 x + 5)

Apply the distributive property

- 5 \times 2 x - 5 \times 5

Multiply the numbers

- 10 x - 5 \times 5

Multiply the numbers

- 10 x - 25

- 2 x - 10 x - 25 + 85

Subtract the terms

More Steps

Evaluate

- 2 x - 10 x

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

(- 2 - 10) x

Subtract the numbers

- 12 x

- 12 x - 25 + 85

Add the numbers

- 12 x + 60

- 12 x + 60 = 0

Move the constant to the right-hand side and change its sign

- 12 x = 0 - 60

Removing 0 doesn't change the value,so remove it from the expression

- 12 x = - 60

Change the signs on both sides of the equation

12 x = 60

Divide both sides

\frac{12 x}{12} = \frac{60}{12}

Divide the numbers

x = \frac{60}{12}

Solution

More Steps

Evaluate

\frac{60}{12}

Reduce the numbers

\frac{5}{1}

Calculate

5

x = 5

Show Solution

Rewrite the equation

x = 5

Evaluate

- 2 x - 5 (2 x + 5) = - 85

Evaluate

More Steps

Evaluate

- 2 x - 5 (2 x + 5)

Expand the expression

More Steps

Calculate

- 5 (2 x + 5)

Apply the distributive property

- 5 \times 2 x - 5 \times 5

Multiply the numbers

- 10 x - 5 \times 5

Multiply the numbers

- 10 x - 25

- 2 x - 10 x - 25

Subtract the terms

More Steps

Evaluate

- 2 x - 10 x

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

(- 2 - 10) x

Subtract the numbers

- 12 x

- 12 x - 25

- 12 x - 25 = - 85

Move the constant to the right side

- 12 x = - 60

Multiply both sides

12 x = 60

Solution

x = 5

Show Solution

Solve the equation

Rewrite the equation

Graph