Solve 7(2x-2)-6(x 11)

Question

Simplify the expression

- 52 x - 14

Evaluate

7 (2 x - 2) - 6 (x \times 11)

Remove the parentheses

7 (2 x - 2) - 6 x \times 11

Multiply the terms

7 (2 x - 2) - 66 x

Expand the expression

More Steps

Calculate

7 (2 x - 2)

Apply the distributive property

7 \times 2 x - 7 \times 2

Multiply the numbers

14 x - 7 \times 2

Multiply the numbers

14 x - 14

14 x - 14 - 66 x

Solution

More Steps

Evaluate

14 x - 66 x

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

(14 - 66) x

Subtract the numbers

- 52 x

- 52 x - 14

Show Solution

Factor the expression

- 2 (26 x + 7)

Evaluate

7 (2 x - 2) - 6 (x \times 11)

Remove the parentheses

7 (2 x - 2) - 6 x \times 11

Use the commutative property to reorder the terms

7 (2 x - 2) - 6 \times 11 x

Multiply the numbers

More Steps

Evaluate

6 \times 11

Multiply the numbers

66

Evaluate

66 x

7 (2 x - 2) - 66 x

Simplify

More Steps

Evaluate

7 (2 x - 2)

Apply the distributive property

7 \times 2 x + 7 (- 2)

Multiply the terms

14 x + 7 (- 2)

Multiply the terms

More Steps

Evaluate

7 (- 2)

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

- 7 \times 2

Multiply the numbers

- 14

14 x - 14

14 x - 14 - 66 x

Subtract the terms

More Steps

Evaluate

14 x - 66 x

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

(14 - 66) x

Subtract the numbers

- 52 x

- 52 x - 14

Solution

- 2 (26 x + 7)

Show Solution

Find the roots

x = - \frac{7}{26}

Alternative Form

x = - 0.2 \dot{6} 9230 \dot{7}

Evaluate

7 (2 x - 2) - 6 (x \times 11)

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

7 (2 x - 2) - 6 (x \times 11) = 0

Use the commutative property to reorder the terms

7 (2 x - 2) - 6 \times 11 x = 0

Multiply the numbers

7 (2 x - 2) - 66 x = 0

Calculate

More Steps

Evaluate

7 (2 x - 2) - 66 x

Expand the expression

More Steps

Calculate

7 (2 x - 2)

Apply the distributive property

7 \times 2 x - 7 \times 2

Multiply the numbers

14 x - 7 \times 2

Multiply the numbers

14 x - 14

14 x - 14 - 66 x

Subtract the terms

More Steps

Evaluate

14 x - 66 x

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

(14 - 66) x

Subtract the numbers

- 52 x

- 52 x - 14

- 52 x - 14 = 0

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

- 52 x = 0 + 14

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

- 52 x = 14

Change the signs on both sides of the equation

52 x = - 14

Divide both sides

\frac{52 x}{52} = \frac{- 14}{52}

Divide the numbers

x = \frac{- 14}{52}

Solution

More Steps

Evaluate

\frac{- 14}{52}

Cancel out the common factor 2

\frac{- 7}{26}

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

- \frac{7}{26}

x = - \frac{7}{26}

Alternative Form

x = - 0.2 \dot{6} 9230 \dot{7}

Show Solution