Solve 5(2x-4)-4(2-5x)

Question

Simplify the expression

30 x - 28

Evaluate

5 (2 x - 4) - 4 (2 - 5 x)

Expand the expression

More Steps

Calculate

5 (2 x - 4)

Apply the distributive property

5 \times 2 x - 5 \times 4

Multiply the numbers

10 x - 5 \times 4

Multiply the numbers

10 x - 20

10 x - 20 - 4 (2 - 5 x)

Expand the expression

More Steps

Calculate

- 4 (2 - 5 x)

Apply the distributive property

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

Multiply the numbers

- 8 - (- 4 \times 5 x)

Multiply the numbers

- 8 - (- 20 x)

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 + 20 x

10 x - 20 - 8 + 20 x

Add the terms

More Steps

Evaluate

10 x + 20 x

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

(10 + 20) x

Add the numbers

30 x

30 x - 20 - 8

Solution

30 x - 28

Show Solution

Factor the expression

2 (15 x - 14)

Evaluate

5 (2 x - 4) - 4 (2 - 5 x)

Simplify

More Steps

Evaluate

5 (2 x - 4)

Apply the distributive property

5 \times 2 x + 5 (- 4)

Multiply the terms

10 x + 5 (- 4)

Multiply the terms

More Steps

Evaluate

5 (- 4)

Multiplying or dividing an odd number of negative terms equals a negative

- 5 \times 4

Multiply the numbers

- 20

10 x - 20

10 x - 20 - 4 (2 - 5 x)

Simplify

More Steps

Evaluate

- 4 (2 - 5 x)

Apply the distributive property

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

Multiply the terms

- 8 - 4 (- 5 x)

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 + 20 x

10 x - 20 - 8 + 20 x

Add the terms

More Steps

Evaluate

10 x + 20 x

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

(10 + 20) x

Add the numbers

30 x

30 x - 20 - 8

Subtract the numbers

30 x - 28

Solution

2 (15 x - 14)

Show Solution

Find the roots

x = \frac{14}{15}

Alternative Form

x = 0.9 \dot{3}

Evaluate

5 (2 x - 4) - 4 (2 - 5 x)

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

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

Calculate

More Steps

Evaluate

5 (2 x - 4) - 4 (2 - 5 x)

Expand the expression

More Steps

Calculate

5 (2 x - 4)

Apply the distributive property

5 \times 2 x - 5 \times 4

Multiply the numbers

10 x - 5 \times 4

Multiply the numbers

10 x - 20

10 x - 20 - 4 (2 - 5 x)

Expand the expression

More Steps

Calculate

- 4 (2 - 5 x)

Apply the distributive property

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

Multiply the numbers

- 8 - (- 4 \times 5 x)

Multiply the numbers

- 8 - (- 20 x)

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 + 20 x

10 x - 20 - 8 + 20 x

Add the terms

More Steps

Evaluate

10 x + 20 x

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

(10 + 20) x

Add the numbers

30 x

30 x - 20 - 8

Subtract the numbers

30 x - 28

30 x - 28 = 0

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

30 x = 0 + 28

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

30 x = 28

Divide both sides

\frac{30 x}{30} = \frac{28}{30}

Divide the numbers

x = \frac{28}{30}

Solution

x = \frac{14}{15}

Alternative Form

x = 0.9 \dot{3}

Show Solution