Solve 2(3x-8)-14x

Question

Simplify the expression

- 8 x - 16

Evaluate

2 (3 x - 8) - 14 x

Expand the expression

More Steps

Calculate

2 (3 x - 8)

Apply the distributive property

2 \times 3 x - 2 \times 8

Multiply the numbers

6 x - 2 \times 8

Multiply the numbers

6 x - 16

6 x - 16 - 14 x

Solution

More Steps

Evaluate

6 x - 14 x

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

(6 - 14) x

Subtract the numbers

- 8 x

- 8 x - 16

Show Solution

Factor the expression

- 8 (x + 2)

Evaluate

2 (3 x - 8) - 14 x

Simplify

More Steps

Evaluate

2 (3 x - 8)

Apply the distributive property

2 \times 3 x + 2 (- 8)

Multiply the terms

6 x + 2 (- 8)

Multiply the terms

More Steps

Evaluate

2 (- 8)

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

- 2 \times 8

Multiply the numbers

- 16

6 x - 16

6 x - 16 - 14 x

Subtract the terms

More Steps

Evaluate

6 x - 14 x

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

(6 - 14) x

Subtract the numbers

- 8 x

- 8 x - 16

Solution

- 8 (x + 2)

Show Solution

Find the roots

x = - 2

Evaluate

2 (3 x - 8) - 14 x

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

2 (3 x - 8) - 14 x = 0

Calculate

More Steps

Evaluate

2 (3 x - 8) - 14 x

Expand the expression

More Steps

Calculate

2 (3 x - 8)

Apply the distributive property

2 \times 3 x - 2 \times 8

Multiply the numbers

6 x - 2 \times 8

Multiply the numbers

6 x - 16

6 x - 16 - 14 x

Subtract the terms

More Steps

Evaluate

6 x - 14 x

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

(6 - 14) x

Subtract the numbers

- 8 x

- 8 x - 16

- 8 x - 16 = 0

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

- 8 x = 0 + 16

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

- 8 x = 16

Change the signs on both sides of the equation

8 x = - 16

Divide both sides

\frac{8 x}{8} = \frac{- 16}{8}

Divide the numbers

x = \frac{- 16}{8}

Solution

More Steps

Evaluate

\frac{- 16}{8}

Reduce the numbers

\frac{- 2}{1}

Calculate

- 2

x = - 2

Show Solution