Solve 4x - 4(2x - 5)

Question

Simplify the expression

- 4 x + 20

Evaluate

4 x - 4 (2 x - 5)

Expand the expression

More Steps

Calculate

- 4 (2 x - 5)

Apply the distributive property

- 4 \times 2 x - (- 4 \times 5)

Multiply the numbers

- 8 x - (- 4 \times 5)

Multiply the numbers

- 8 x - (- 20)

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

- 8 x + 20

4 x - 8 x + 20

Solution

More Steps

Evaluate

4 x - 8 x

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

(4 - 8) x

Subtract the numbers

- 4 x

- 4 x + 20

Show Solution

Factor the expression

- 4 (x - 5)

Evaluate

4 x - 4 (2 x - 5)

Simplify

More Steps

Evaluate

- 4 (2 x - 5)

Apply the distributive property

- 4 \times 2 x - 4 (- 5)

Multiply the terms

- 8 x - 4 (- 5)

Multiply the terms

More Steps

Evaluate

- 4 (- 5)

Multiplying or dividing an even number of negative terms equals a positive

4 \times 5

Multiply the numbers

20

- 8 x + 20

4 x - 8 x + 20

Subtract the terms

More Steps

Evaluate

4 x - 8 x

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

(4 - 8) x

Subtract the numbers

- 4 x

- 4 x + 20

Solution

- 4 (x - 5)

Show Solution

Find the roots

x = 5

Evaluate

4 x - 4 (2 x - 5)

To find the roots of the expression,set the expression equal to 0

4 x - 4 (2 x - 5) = 0

Calculate

More Steps

Evaluate

4 x - 4 (2 x - 5)

Expand the expression

More Steps

Calculate

- 4 (2 x - 5)

Apply the distributive property

- 4 \times 2 x - (- 4 \times 5)

Multiply the numbers

- 8 x - (- 4 \times 5)

Multiply the numbers

- 8 x - (- 20)

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

- 8 x + 20

4 x - 8 x + 20

Subtract the terms

More Steps

Evaluate

4 x - 8 x

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

(4 - 8) x

Subtract the numbers

- 4 x

- 4 x + 20

- 4 x + 20 = 0

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

- 4 x = 0 - 20

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

- 4 x = - 20

Change the signs on both sides of the equation

4 x = 20

Divide both sides

\frac{4 x}{4} = \frac{20}{4}

Divide the numbers

x = \frac{20}{4}

Solution

More Steps

Evaluate

\frac{20}{4}

Reduce the numbers

\frac{5}{1}

Calculate

5

x = 5

Show Solution