Solve 12x -2(4x - 6)

Question

Simplify the expression

4 x + 12

Evaluate

12 x - 2 (4 x - 6)

Expand the expression

More Steps

Calculate

- 2 (4 x - 6)

Apply the distributive property

- 2 \times 4 x - (- 2 \times 6)

Multiply the numbers

- 8 x - (- 2 \times 6)

Multiply the numbers

- 8 x - (- 12)

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 + 12

12 x - 8 x + 12

Solution

More Steps

Evaluate

12 x - 8 x

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

(12 - 8) x

Subtract the numbers

4 x

4 x + 12

Show Solution

Factor the expression

4 (x + 3)

Evaluate

12 x - 2 (4 x - 6)

Simplify

More Steps

Evaluate

- 2 (4 x - 6)

Apply the distributive property

- 2 \times 4 x - 2 (- 6)

Multiply the terms

- 8 x - 2 (- 6)

Multiply the terms

More Steps

Evaluate

- 2 (- 6)

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

2 \times 6

Multiply the numbers

12

- 8 x + 12

12 x - 8 x + 12

Subtract the terms

More Steps

Evaluate

12 x - 8 x

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

(12 - 8) x

Subtract the numbers

4 x

4 x + 12

Solution

4 (x + 3)

Show Solution

Find the roots

x = - 3

Evaluate

12 x - 2 (4 x - 6)

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

12 x - 2 (4 x - 6) = 0

Calculate

More Steps

Evaluate

12 x - 2 (4 x - 6)

Expand the expression

More Steps

Calculate

- 2 (4 x - 6)

Apply the distributive property

- 2 \times 4 x - (- 2 \times 6)

Multiply the numbers

- 8 x - (- 2 \times 6)

Multiply the numbers

- 8 x - (- 12)

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 + 12

12 x - 8 x + 12

Subtract the terms

More Steps

Evaluate

12 x - 8 x

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

(12 - 8) x

Subtract the numbers

4 x

4 x + 12

4 x + 12 = 0

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

4 x = 0 - 12

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

4 x = - 12

Divide both sides

\frac{4 x}{4} = \frac{- 12}{4}

Divide the numbers

x = \frac{- 12}{4}

Solution

More Steps

Evaluate

\frac{- 12}{4}

Reduce the numbers

\frac{- 3}{1}

Calculate

- 3

x = - 3

Show Solution