Solve 8(x 9)-2(x-8)

Question

Simplify the expression

70 x + 16

Evaluate

8 (x \times 9) - 2 (x - 8)

Remove the parentheses

8 x \times 9 - 2 (x - 8)

Multiply the terms

72 x - 2 (x - 8)

Expand the expression

More Steps

Calculate

- 2 (x - 8)

Apply the distributive property

- 2 x - (- 2 \times 8)

Multiply the numbers

- 2 x - (- 16)

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 + 16

72 x - 2 x + 16

Solution

More Steps

Evaluate

72 x - 2 x

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

(72 - 2) x

Subtract the numbers

70 x

70 x + 16

Show Solution

Factor the expression

2 (35 x + 8)

Evaluate

8 (x \times 9) - 2 (x - 8)

Remove the parentheses

8 x \times 9 - 2 (x - 8)

Use the commutative property to reorder the terms

8 \times 9 x - 2 (x - 8)

Multiply the numbers

More Steps

Evaluate

8 \times 9

Multiply the numbers

72

Evaluate

72 x

72 x - 2 (x - 8)

Simplify

More Steps

Evaluate

- 2 (x - 8)

Apply the distributive property

- 2 x - 2 (- 8)

Multiply the terms

More Steps

Evaluate

- 2 (- 8)

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

2 \times 8

Multiply the numbers

16

- 2 x + 16

72 x - 2 x + 16

Subtract the terms

More Steps

Evaluate

72 x - 2 x

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

(72 - 2) x

Subtract the numbers

70 x

70 x + 16

Solution

2 (35 x + 8)

Show Solution

Find the roots

x = - \frac{8}{35}

Alternative Form

x = - 0.2 \dot{2} 8571 \dot{4}

Evaluate

8 (x \times 9) - 2 (x - 8)

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

8 (x \times 9) - 2 (x - 8) = 0

Use the commutative property to reorder the terms

8 \times 9 x - 2 (x - 8) = 0

Multiply the numbers

72 x - 2 (x - 8) = 0

Calculate

More Steps

Evaluate

72 x - 2 (x - 8)

Expand the expression

More Steps

Calculate

- 2 (x - 8)

Apply the distributive property

- 2 x - (- 2 \times 8)

Multiply the numbers

- 2 x - (- 16)

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 + 16

72 x - 2 x + 16

Subtract the terms

More Steps

Evaluate

72 x - 2 x

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

(72 - 2) x

Subtract the numbers

70 x

70 x + 16

70 x + 16 = 0

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

70 x = 0 - 16

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

70 x = - 16

Divide both sides

\frac{70 x}{70} = \frac{- 16}{70}

Divide the numbers

x = \frac{- 16}{70}

Solution

More Steps

Evaluate

\frac{- 16}{70}

Cancel out the common factor 2

\frac{- 8}{35}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{8}{35}

x = - \frac{8}{35}

Alternative Form

x = - 0.2 \dot{2} 8571 \dot{4}

Show Solution