Solve 4(2x - 2) - 6x

Question

Simplify the expression

2 x - 8

Evaluate

4 (2 x - 2) - 6 x

Expand the expression

More Steps

Calculate

4 (2 x - 2)

Apply the distributive property

4 \times 2 x - 4 \times 2

Multiply the numbers

8 x - 4 \times 2

Multiply the numbers

8 x - 8

8 x - 8 - 6 x

Solution

More Steps

Evaluate

8 x - 6 x

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

(8 - 6) x

Subtract the numbers

2 x

2 x - 8

Show Solution

Factor the expression

2 (x - 4)

Evaluate

4 (2 x - 2) - 6 x

Simplify

More Steps

Evaluate

4 (2 x - 2)

Apply the distributive property

4 \times 2 x + 4 (- 2)

Multiply the terms

8 x + 4 (- 2)

Multiply the terms

More Steps

Evaluate

4 (- 2)

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

- 4 \times 2

Multiply the numbers

- 8

8 x - 8

8 x - 8 - 6 x

Subtract the terms

More Steps

Evaluate

8 x - 6 x

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

(8 - 6) x

Subtract the numbers

2 x

2 x - 8

Solution

2 (x - 4)

Show Solution

Find the roots

x = 4

Evaluate

4 (2 x - 2) - 6 x

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

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

Calculate

More Steps

Evaluate

4 (2 x - 2) - 6 x

Expand the expression

More Steps

Calculate

4 (2 x - 2)

Apply the distributive property

4 \times 2 x - 4 \times 2

Multiply the numbers

8 x - 4 \times 2

Multiply the numbers

8 x - 8

8 x - 8 - 6 x

Subtract the terms

More Steps

Evaluate

8 x - 6 x

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

(8 - 6) x

Subtract the numbers

2 x

2 x - 8

2 x - 8 = 0

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

2 x = 0 + 8

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

2 x = 8

Divide both sides

\frac{2 x}{2} = \frac{8}{2}

Divide the numbers

x = \frac{8}{2}

Solution

More Steps

Evaluate

\frac{8}{2}

Reduce the numbers

\frac{4}{1}

Calculate

4

x = 4

Show Solution