Solve 4(x 1) - 2(x - 3)

Question

Simplify the expression

2 x + 6

Evaluate

4 (x \times 1) - 2 (x - 3)

Remove the parentheses

4 x \times 1 - 2 (x - 3)

Multiply the terms

4 x - 2 (x - 3)

Expand the expression

More Steps

Calculate

- 2 (x - 3)

Apply the distributive property

- 2 x - (- 2 \times 3)

Multiply the numbers

- 2 x - (- 6)

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 + 6

4 x - 2 x + 6

Solution

More Steps

Evaluate

4 x - 2 x

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

(4 - 2) x

Subtract the numbers

2 x

2 x + 6

Show Solution

Factor the expression

2 (x + 3)

Evaluate

4 (x \times 1) - 2 (x - 3)

Remove the parentheses

4 x \times 1 - 2 (x - 3)

Any expression multiplied by 1 remains the same

4 x - 2 (x - 3)

Simplify

More Steps

Evaluate

- 2 (x - 3)

Apply the distributive property

- 2 x - 2 (- 3)

Multiply the terms

More Steps

Evaluate

- 2 (- 3)

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

2 \times 3

Multiply the numbers

6

- 2 x + 6

4 x - 2 x + 6

Subtract the terms

More Steps

Evaluate

4 x - 2 x

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

(4 - 2) x

Subtract the numbers

2 x

2 x + 6

Solution

2 (x + 3)

Show Solution

Find the roots

x = - 3

Evaluate

4 (x \times 1) - 2 (x - 3)

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

4 (x \times 1) - 2 (x - 3) = 0

Any expression multiplied by 1 remains the same

4 x - 2 (x - 3) = 0

Calculate

More Steps

Evaluate

4 x - 2 (x - 3)

Expand the expression

More Steps

Calculate

- 2 (x - 3)

Apply the distributive property

- 2 x - (- 2 \times 3)

Multiply the numbers

- 2 x - (- 6)

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 + 6

4 x - 2 x + 6

Subtract the terms

More Steps

Evaluate

4 x - 2 x

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

(4 - 2) x

Subtract the numbers

2 x

2 x + 6

2 x + 6 = 0

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

2 x = 0 - 6

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

2 x = - 6

Divide both sides

\frac{2 x}{2} = \frac{- 6}{2}

Divide the numbers

x = \frac{- 6}{2}

Solution

More Steps

Evaluate

\frac{- 6}{2}

Reduce the numbers

\frac{- 3}{1}

Calculate

- 3

x = - 3

Show Solution